Abstract and Applied Analysis

1996 - 2024

Continuation of Abstract and Applied Analysis.

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Volume 2010, issue 1, 2010

On P‐ and p‐Convexity of Banach Spaces

Omar Muñiz-Pérez

Note on the Numerical Solutions of the General Matrix Convolution Equations by Using the Iterative Methods and Box Convolution Product

Adem Kılıçman and Zeyad Al Zhour

Mittag‐Leffler Stability Theorem for Fractional Nonlinear Systems with Delay

S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi and T. Abdeljawad (Maraaba)

Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means

Yu-Ming Chu, Ye-Fang Qiu and Miao-Kun Wang

A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi‐Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems

Siwaporn Saewan and Poom Kumam

Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces

Erdal Karapınar

The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One‐Dimensional p‐Laplacian

Gabriella Bognár and Ondřej Došlý

Razumikhin Stability Theorem for Fractional Systems with Delay

D. Baleanu, S. J. Sadati, R. Ghaderi, A. Ranjbar, T. Abdeljawad (Maraaba) and F. Jarad

On the Fredholm Alternative for the Fučík Spectrum

Pavel Drábek and Stephen B. Robinson

Existence of Positive Solutions for a Functional Fractional Boundary Value Problem

Chuanzhi Bai

A New Method to Prove and Find Analytic Inequalities

Xiao-Ming Zhang, Bo-Yan Xi and Yu-Ming Chu

Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space

M. Mursaleen, V. Karakaya and S. A. Mohiuddine

Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler‐Maclaurin Formula

Aimin Xu and Zhongdi Cen

Norm and Essential Norm of an Integral‐Type Operator from the Dirichlet Space to the Bloch‐Type Space on the Unit Ball

Stevo Stević

Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

M. I. Berenguer, D. Gámez, A. I. Garralda-Guillem and M. C. Serrano Pérez

Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi‐Nonexpansive Mappings in Banach Spaces

Prasit Cholamjiak and Suthep Suantai

Non‐Weakly Supercyclic Weighted Composition Operators

Z. Kamali, K. Hedayatian and B. Khani Robati

Some Normal Criteria about Shared Values with Their Multiplicity Zeros

Jianming Qi and Taiying Zhu

Blowup Properties for a Semilinear Reaction‐Diffusion System with Nonlinear Nonlocal Boundary Conditions

Dengming Liu and Chunlai Mu

q‐Bernstein Polynomials Associated with q‐Stirling Numbers and Carlitz′s q‐Bernoulli Numbers

T. Kim, J. Choi and Y. H. Kim

Long‐Term Behavior of Solutions of the Difference Equation xn+1 = xn−1xn−2 − 1

Candace M. Kent, Witold Kosmala and Stevo Stević

On the Existence of Solutions for Impulsive Duffing Dynamic Equations on Time Scales with Dirichlet Boundary Conditions

Yongkun Li and Tianwei Zhang

Global Stability and Oscillation of a Discrete Annual Plants Model

S. H. Saker

On a Periodic Predator‐Prey System with Holling III Functional Response and Stage Structure for Prey

Xiangzeng Kong, Zhiqin Chen, Li Xu and Wensheng Yang

On Subnormal Solutions of Periodic Differential Equations

Zong-Xuan Chen and Kwang Ho Shon

Convergence Theorems for a Maximal Monotone Operator and a V‐Strongly Nonexpansive Mapping in a Banach Space

Hiroko Manaka

A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space

J. Harjani, B. López and K. Sadarangani

On an Integral‐Type Operator from Zygmund‐Type Spaces to Mixed‐Norm Spaces on the Unit Ball

Stevo Stević

Second‐Order Nonlinear Impulsive Integro‐Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces

Y. Peng

Error Estimates from Noise Samples for Iterative Algorithm in Shift‐Invariant Signal Spaces

Jun Xian

On an Integral‐Type Operator Acting between Bloch‐Type Spaces on the Unit Ball

Stevo Stević and Sei-Ichiro Ueki

Boundary Value Problems for Systems of Second‐Order Dynamic Equations on Time Scales with Δ‐Carathéodory Functions

M. Frigon and H. Gilbert

Positive Solutions for Second‐Order Three‐Point Eigenvalue Problems

Chuanzhi Bai

Global Behavior of the Difference Equation xn+1 = (p + xn−1)/(qxn + xn−1)

Taixiang Sun, Hongjian Xi, Hui Wu and Caihong Han

Multiplicity of Solutions for Gradient Systems Using Landesman‐Lazer Conditions

Edcarlos D. da Silva

A Bäcklund Transformation for the Burgers Hierarchy

Xifang Cao and Chuanyou Xu

Some Remarks on Spaces of Morrey Type

Loredana Caso, Roberta D′Ambrosio and Sara Monsurrò

Weighted Differentiation Composition Operators from the Mixed‐Norm Space to the nth Weigthed‐Type Space on the Unit Disk

Stevo Stević

Remarks on Asymptotic Centers and Fixed Points

A. Kaewkhao and K. Sokhuma

New Types of Continuities

İbrahim Çanak and Mehmet Dik

Multiple Positive Solutions of a Second Order Nonlinear Semipositone m‐Point Boundary Value Problem on Time Scales

Chengjun Yuan and Yongming Liu

On the Complex Zeros of Some Families of Orthogonal Polynomials

Eugenia N. Petropoulou

Oscillation for Third‐Order Nonlinear Differential Equations with Deviating Argument

Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá and Mauro Marini

Path Convergence and Approximation of Common Zeroes of a Finite Family of m‐Accretive Mappings in Banach Spaces

Yekini Shehu and Jerry N. Ezeora

The Lyapunov Stability for the Linear and Nonlinear Damped Oscillator with Time‐Periodic Parameters

Jifeng Chu and Ting Xia

A Second‐Order Boundary Value Problem with Nonlinear and Mixed Boundary Conditions: Existence, Uniqueness, and Approximation

Zheyan Zhou and Jianhe Shen

Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator

Emin V. Guliyev and Yagub Y. Mammadov

Stability of a Two‐Strain Tuberculosis Model with General Contact Rate

Hai-Feng Huo, Shuai-Jun Dang and Yu-Ning Li

Forced Oscillation of Second‐Order Half‐Linear Dynamic Equations on Time Scales

Quanwen Lin, Baoguo Jia and Qiru Wang

Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications

Somyot Plubtieng and Wanna Sriprad

Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means

Yu-Ming Chu and Bo-Yong Long

On the Controllability of a Differential Equation with Delayed and Advanced Arguments

Raúl Manzanilla, Luis Gerardo Mármol and Carmen J. Vanegas

A Class of Fan‐Browder Type Fixed‐Point Theorem and Its Applications In Topological Space

Yi-An Chen and Yi-Ping Zhang

The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn

Luo Luo and Yang Xuemei

Weighted Anisotropic Integral Representations of Holomorphic Functions in the Unit Ball of Cn

Arman Karapetyan

Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi‐ϕ‐Asymptotically Nonexpansive Mappings

Siwaporn Saewan and Poom Kumam

The Hyperspherical Functions of a Derivative

Nenad Cakic, Duško Letic and Branko Davidovic

Hyers‐Ulam Stability of the Delay Equation y′(t) = λy(t − τ)

Soon-Mo Jung and Janusz Brzdęk

On the S‐Invariance Property for S‐Flows

Amin Saif and Adem Kılıçman

Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces

Bilal Cekic and Rabil A. Mashiyev

On the Abstract Subordinated Exit Equation

Hassen Mejri and Ezzedine Mliki

A Viscosity Hybrid Steepest Descent Method for Generalized Mixed Equilibrium Problems and Variational Inequalities for Relaxed Cocoercive Mapping in Hilbert Spaces

Wanpen Chantarangsi, Chaichana Jaiboon and Poom Kumam

Nearly Ring Homomorphisms and Nearly Ring Derivations on Non‐Archimedean Banach Algebras

Madjid Eshaghi Gordji

A Class of Impulsive Pulse‐Width Sampler Systems and Its Steady‐State Control in Infinite Dimensional Spaces

JinRong Wang, W. Wei and YanLong Yang

On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays

Jaromír Baštinec, Leonid Berezansky, Josef Diblík and Zdeněk Šmarda

On a Higher‐Order Nonlinear Difference Equation

Bratislav D. Iričanin

Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators

Hocine Guediri

A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed‐Point Problems, and Variational Inequalities

Jian-Wen Peng, Soon-Yi Wu and Jen-Chih Yao

Nonoscillatory Solutions for Higher‐Order Neutral Dynamic Equations on Time Scales

Taixiang Sun, Hongjian Xi, Xiaofeng Peng and Weiyong Yu

Existence and Nonexistence Results for Classes of Singular Elliptic Problem

Peng Zhang and Jia-Feng Liao

Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications

Meiqiang Feng, Xuemei Zhang and Weigao Ge

Solutions of the Difference Equation xn+1 = xnxn−1 − 1

Candace M. Kent, Witold Kosmala, Michael A. Radin and Stevo Stević

Some Existence Theorems for Nonconvex Variational Inequalities Problems

Narin Petrot

Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces

He Yang

Positive Solutions to Nonlinear Higher‐Order Nonlocal Boundary Value Problems for Fractional Differential Equations

Mujeeb Ur Rehman and Rahmat Ali Khan

Weyl‐Titchmarsh Theory for Hamiltonian Dynamic Systems

Shurong Sun, Martin Bohner and Shaozhu Chen

On Some k‐Dimensional Cyclic Systems of Difference Equations

Wanping Liu, Xiaofan Yang and Bratislav D. Iričanin

Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay

Azizollah Babakhani

General Linear Boundary Value Problem for the Second‐Order Integro‐Differential Loaded Equation with Boundary Conditions Containing Both Nonlocal and Global Terms

M. R. Fatemi and N. A. Aliyev

Asymptotic Dichotomyin a Class of Third‐Order Nonlinear Differential Equations with Impulses

Kun-Wen Wen, Gen-Qiang Wang and Sui Sun Cheng

New Oscillation Criteria for Second‐Order Neutral Delay Differential Equations with Positive and Negative Coefficients

Yuzhen Bai and Lihua Liu

Multiplicity Results for a Perturbed Elliptic Neumann Problem

Gabriele Bonanno and Giuseppina D′Aguì

Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball

Yasunori Kimura

An Integrated Supplier‐Buyer Inventory Model with Conditionally Free Shipment under Permissible Delay in Payments

Chia-Hsien Su

On Sumudu Transform and System of Differential Equations

Adem Kiliçman, Hassan Eltayeb and Ravi P. Agarwal

Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations

Wenyong Zhong

Carleson Measure in Bergman‐Orlicz Space of Polydisc

An-Jian Xu and Zou Yang

The Optimal Upper and Lower Power Mean Bounds for a Convex Combination of the Arithmetic and Logarithmic Means

Wei-Feng Xia, Yu-Ming Chu and Gen-Di Wang

Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second‐Order Hamiltonian Systems

Peng Zhang and Chun-Lei Tang

Ahlfors Theorems for Differential Forms

O. Martio, V. M. Miklyukov and M. Vuorinen

On Semi‐Uniform Kadec‐Klee Banach Spaces

Satit Saejung and Ji Gao

New Exact Solutions for the (2 + 1)‐Dimensional Broer‐Kaup‐Kupershmidt Equations

Ming Song, Shaoyong Li and Jun Cao

Multiple Positive Solutions for Semilinear Elliptic Equations in ℝN Involving Concave‐Convex Nonlinearities and Sign‐Changing Weight Functions

Tsing-San Hsu and Huei-Li Lin

On theBlow‐UpSet for Non‐Newtonian Equation with a Nonlinear Boundary Condition

Zhilei Liang

On Stability of Parametrized Families of Polynomials and Matrices

Handan Akyar, Taner Büyükköroğlu and Vakıf Dzhafarov

An Existence and Uniqueness Result for a Bending Beam Equation without Growth Restriction

Yongxiang Li and He Yang

Note on the Solution of Transport Equation by Tau Method and Walsh Functions

Abdelouahab Kadem and Adem Kilicman

A Refinement of Quasilinearization Method for Caputo′s Sense Fractional‐Order Differential Equations

Coşkun Yakar and Ali Yakar

On Second Order of Accuracy Difference Scheme of the Approximate Solution of Nonlocal Elliptic‐Parabolic Problems

Allaberen Ashyralyev and Okan Gercek

A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces

Pornsak Yatakoat and Suthep Suantai

Functions on the Plane as Combinations of Powers of Distances to Points

Jose L. Martinez-Morales

Convergence Theorem Based on a New Hybrid Projection Method for Finding a Common Solution of Generalized Equilibrium and Variational Inequality Problems in Banach Spaces

Siwaporn Saewan, Poom Kumam and Kriengsak Wattanawitoon

Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings

Weerayuth Nilsrakoo and Satit Saejung

AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces

M. Eshaghi Gordji, R. Khodabakhsh, S.-M. Jung and H. Khodaei

Hyers‐Ulam Stability of Polynomial Equations

M. Bidkham, H. A. Soleiman Mezerji and M. Eshaghi Gordji

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

Coşkun Yakar

Mixed Approximation for Nonexpansive Mappings in Banach Spaces

Qing-Bang Zhang, Fu-Quan Xia and Ming-Jie Liu

Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems

Yonghong Yao and Yeong-Cheng Liou

A New Generating Function of (q‐) Bernstein‐Type Polynomials and Their Interpolation Function

Yilmaz Simsek and Mehmet Acikgoz

On Regularized Quasi‐Semigroups and Evolution Equations

M. Janfada

Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

Stevo Stević

On the Generalized Hardy Spaces

M. Fatehi

A New Subclass of Salagean‐Type Harmonic Univalent Functions

Khalifa Al-Shaqsi, Maslina Darus and Olubunmi Abidemi Fadipe-Joseph

Necessary and Sufficient Conditions for Schur Geometrical Convexity of the Four‐Parameter Homogeneous Means

Zhen-Hang Yang

Integrodifferential Equations on Time Scales with Henstock‐Kurzweil‐Pettis Delta Integrals

Aneta Sikorska-Nowak

Micropolar Fluids with Vanishing Viscosity

E. Ortega-Torres, E. J. Villamizar-Roa and M. A. Rojas-Medar

Permanence and Extinction of a Generalized Gause‐Type Predator‐Prey System with Periodic Coefficients

Jinhuo Luo

Fixed Points and the Stability of an AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces

Choonkil Park

A New Iterative Scheme for Countable Families of Weak Relatively Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems

Yekini Shehu

On the Nevanlinna′s Theory for Vector‐Valued Mappings

Zu-Xing Xuan and Nan Wu

Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

Dumitru Băleanu, Octavian G. Mustafa and Ravi P. Agarwal

A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications

Kasamsuk Ungchittrakool

Technical Note on (Q, r, L) Inventory Model with Defective Items

Cheng-Tan Tung, Yu-Wen Wou, Shih-Wei Lin and Peter Deng

Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non‐) Consistent Initial Conditions

Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos and Kostas G. Arvanitis

Green′s Function and Convergence of Fourier Series for Elliptic Differential Operators with Potential from Kato Space

Valery Serov

Extreme Points and Rotundity in Musielak‐Orlicz‐Bochner Function Spaces Endowed with Orlicz Norm

Shaoqiang Shang, Yunan Cui and Yongqiang Fu

Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays

Xinsong Yang, Jinde Cao, Chuangxia Huang and Yao Long

Normal and Osculating Planes of Δ‐Regular Curves

Sibel Paşalı Atmaca

Spectral Properties and Finite Pole Assignment of Linear Neutral Systems in Banach Spaces

Xuewen Xia and Kai Liu

On q‐Euler Numbers Related to the Modified q‐Bernstein Polynomials

Min-Soo Kim, Daeyeoul Kim and Taekyun Kim

Existence and Asymptotic Behavior of Boundary Blow‐Up Solutions for Weighted p(x)‐Laplacian Equations with Exponential Nonlinearities

Li Yin, Yunrui Guo, Jing Yang, Bibo Lu and Qihu Zhang

Upper and Lower Solutions Method for a Class of Singular Fractional Boundary Value Problems with p‐Laplacian Operator

Jinhua Wang and Hongjun Xiang

Necessary and Sufficient Conditions for the Boundedness of Dunkl‐Type Fractional Maximal Operator in the Dunkl‐Type Morrey Spaces

Emin Guliyev, Ahmet Eroglu and Yagub Mammadov

Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations

Rong Cheng and Jianhua Hu

Non‐Self‐Adjoint Singular Sturm‐Liouville Problems with Boundary Conditions Dependent on the Eigenparameter

Elgiz Bairamov and M. Seyyit Seyyidoglu

Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique

Shiguo Peng and Liping Yang