Abstract and Applied Analysis

1996 - 2024

Continuation of Abstract and Applied Analysis.

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Volume 2009, issue 1, 2009

Policy Iteration for Continuous‐Time Average Reward Markov Decision Processes in Polish Spaces

Quanxin Zhu, Xinsong Yang and Chuangxia Huang

Various Half‐Eigenvalues of Scalar p‐Laplacian with Indefinite Integrable Weights

Wei Li and Ping Yan

Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials

Jian Ding, Junxiang Xu and Fubao Zhang

Persistence and Stability for a Generalized Leslie‐Gower Model with Stage Structure and Dispersal

Hai-Feng Huo, Zhan-Ping Ma and Chun-Ying Liu

Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind

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

Global Behavior of the Max‐Type Difference Equation xn+1 = max {1/xn, An/xn−1}

Taixiang Sun, Bin Qin, Hongjian Xi and Caihong Han

Composition Operators from the Hardy Space to the Zygmund‐Type Space on the Upper Half‐Plane

Stevo Stević

Existence and Uniqueness of Periodic Solutions of Mixed Monotone Functional Differential Equations

Shugui Kang and Sui Sun Cheng

S. N. Bernstein Type Estimations in the Mean on the Curves in a Complex Plane

J. I. Mamedkhanov and I. B. Dadashova

Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals

Khristo N. Boyadzhiev

Well‐Posedness of the Cauchy Problem for Hyperbolic Equations with Non‐Lipschitz Coefficients

Akbar B. Aliev and Gulnara D. Shukurova

Stability Results for a Class of Differential Equation and Application in Medicine

Qingyi Zhan, Xiangdong Xie and Zhifang Zhang

A Unified Approach to High‐Gain Adaptive Controllers

Ian A. Gravagne, John M. Davis and Jeffrey J. DaCunha

Asymptotic Comparison of the Solutions of Linear Time‐Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations

M. De la Sen

Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces

Filip Strobin

Extended Cesàro Operators from Logarithmic‐Type Spaces to Bloch‐Type Spaces

Dinggui Gu

Boundary Stabilization of Memory Type for the Porous‐Thermo‐Elasticity System

Abdelaziz Soufyane, Mounir Afilal and Mama Chacha

A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings”

Satit Saejung, Suthep Suantai and Pongsakorn Yotkaew

Spectral Singularities of Sturm‐Liouville Problems with Eigenvalue‐Dependent Boundary Conditions

Elgiz Bairamov and Nihal Yokus

Weighted Composition Operators from F(p, q, s) Spaces to Hμ∞ Spaces

Xiangling Zhu

Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays

Zixin Liu, Shu Lü, Shouming Zhong and Mao Ye

Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi‐Nonexpansive Mappings

Watcharaporn Cholamjiak and Suthep Suantai

A New 4‐Point C3 Quaternary Approximating Subdivision Scheme

Ghulam Mustafa and Faheem Khan

Convolutions with the Continuous Primitive Integral

Erik Talvila

The Existence of Positive Solution to Three‐Point Singular Boundary Value Problem of Fractional Differential Equation

Yuansheng Tian and Anping Chen

Solvability of a Higher‐Order Three‐Point Boundary Value Problem on Time Scales

Yanbin Sang

Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws

V. G. Danilov and D. Mitrovic

Stability of the Jensen‐Type Functional Equation in C∗‐Algebras: A Fixed Point Approach

Choonkil Park and John Michael Rassias

A Theorem of Galambos‐Bojanić‐Seneta Type

Dragan Djurčić and Aleksandar Torgašev

Growth of Solutions of Nonhomogeneous Linear Differential Equations

Jun Wang and Ilpo Laine

On Multiple Interpolation Functions of the Nörlund‐Type q‐Euler Polynomials

Mehmet Acikgoz and Yilmaz Simsek

On Two‐Parameter Regularized Semigroups and the Cauchy Problem

Mohammad Janfada

Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi‐Banach Spaces

M. Eshaghi Gordji, S. Zolfaghari, J. M. Rassias and M. B. Savadkouhi

Some Computational Formulas for D‐Nörlund Numbers

Guodong Liu

Generalized Hyers‐Ulam Stability of Generalized (N, K)‐Derivations

M. Eshaghi Gordji, J. M. Rassias and N. Ghobadipour

Fractional Evolution Equations Governed by Coercive Differential Operators

Fu-Bo Li, Miao Li and Quan Zheng

On Costas Sets and Costas Clouds

Konstantinos Drakakis

Permanence of Periodic Predator‐Prey System with General Nonlinear Functional Response and Stage Structure for Both Predator and Prey

Xuming Huang, Xiangzeng Kong and Wensheng Yang

Asymptotic Dichotomy in a Class of Fourth‐Order Nonlinear Delay Differential Equations with Damping

Chengmin Hou and Sui Sun Cheng

Some New Wilker‐Type Inequalities for Circular and Hyperbolic Functions

Ling Zhu

Existence of Solutions for Nonlocal Boundary Value Problems of Higher‐Order Nonlinear Fractional Differential Equations

Bashir Ahmad and Juan J. Nieto

Existence of Positive Solutions to Singular p‐Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity

Qiying Wei, You-Hui Su, Subei Li and Xing-Xue Yan

A Bayesian Abstract Economy with a Measure Space of Agents

Monica Patriche

Fuzzy Stability of Jensen‐Type Quadratic Functional Equations

Sun-Young Jang, Jung Rye Lee, Choonkil Park and Dong Yun Shin

On Approximate Euler Differential Equations

Soon-Mo Jung and Seungwook Min

Some Properties of lp(A, X) Spaces

Xiaohong Fu and Songxiao Li

Strong Convergence of Viscosity Iteration Methods for Nonexpansive Mappings

Jong Soo Jung

A Two‐Dimensional Landau‐Lifshitz Model in Studying Thin Film Micromagnetics

Jingna Li

Homomorphisms and Derivations in C∗‐Ternary Algebras

Abbas Najati, Choonkil Park and Jung Rye Lee

Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space

Wariam Chuayjan and Sornsak Thianwan

Bounded Motions of the Dynamical Systems Described by Differential Inclusions

Nihal Ege and Khalik G. Guseinov

The Shrinking Projection Method for Solving Variational Inequality Problems and Fixed Point Problems in Banach Spaces

Rabian Wangkeeree and Rattanaporn Wangkeeree

Some Identities of the Frobenius‐Euler Polynomials

Taekyun Kim and Byungje Lee

Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

Chakkrid Klin-eam, Suthep Suantai and Wataru Takahashi

Multiplicity Results for p‐Laplacian with Critical Nonlinearity of Concave‐Convex Type and Sign‐Changing Weight Functions

Tsing-San Hsu

On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays

M. De la Sen

Optimal Inequalities among Various Means of Two Arguments

Ming-yu Shi, Yu-ming Chu and Yue-ping Jiang

Seasonal Effects on a Beddington‐DeAngelis Type Predator‐Prey System with Impulsive Perturbations

Hunki Baek and Younghae Do

Some ℓ(p)‐Type New Sequence Spaces and Their Geometric Properties

Ekrem Savaş, Vatan Karakaya and Necip Şimşek

On the Norm of Certain Weighted Composition Operators on the Hardy Space

M. Haji Shaabani and B. Khani Robati

On the Stochastic 3D Navier‐Stokes‐α Model of Fluids Turbulence

Gabriel Deugoue and Mamadou Sango

Stochastic Passivity of Uncertain Neural Networks with Time‐Varying Delays

Jianting Zhou, Qiankun Song and Jianxi Yang

Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings

S. Imnang and S. Suantai

Products of Composition and Differentiation Operators from 𝒬K(p, q) Spaces to Bloch‐Type Spaces

Weifeng Yang

The Numerical Range of Toeplitz Operator on the Polydisk

Dinggui Gu

Existence of Positive Solutions for Multiterm Fractional Differential Equations of Finite Delay with Polynomial Coefficients

A. Babakhani and E. Enteghami

The Tsirelson Space 𝒯(p) Has a Unique Unconditional Basis up to Permutation for 0

F. Albiac and C. Leránoz

Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces

Somyot Plubtieng and Wanna Sriprad

Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem

Julia Orlik

Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives

Jianming Qi, Feng Lü and Ang Chen

Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials

Taekyun Kim, Seog-Hoon Rim and Byungje Lee

(a, k)‐Regularized C‐Resolvent Families: Regularity and Local Properties

Marko Kostić

On Perfectly Homogeneous Bases in Quasi‐Banach Spaces

F. Albiac and C. Leránoz

Oscillation Criteria for a Class of Second‐Order Nonlinear Differential Equations with Damping Term

Zigen Ouyang, Jichao Zhong and Shuliang Zou

Functional Equations Related to Inner Product Spaces

Choonkil Park, Won-Gil Park and Abbas Najati

The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

Choonkil Park and Ji-Hye Kim

On the Generalized Hyers‐Ulam‐Rassias Stability of Quadratic Functional Equations

M. Eshaghi Gordji and H. Khodaei

On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces

Karim Hedayatian and Lotfollah Karimi

On the Differential Operators with Periodic Matrix Coefficients

O. A. Veliev

Finite Dimensional Uniform Attractors for the Nonautonomous Camassa‐Holm Equations

Delin Wu

Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays

Yimin Zhang, Yongkun Li and Kuohui Ye

Permanence of a Semi‐Ratio‐Dependent Predator‐Prey System with Nonmonotonic Functional Response and Time Delay

Xuepeng Li and Wensheng Yang

Necessary Conditions for a Class of Optimal Control Problems on Time Scales

Zaidong Zhan and W. Wei

Total Stability in Nonlinear Discrete Volterra Equations with Unbounded Delay

Sung Kyu Choi, Yoon Hoe Goo, Dong Man Im and Namjip Koo

Unique Positive Almost Periodic Solution for Discrete Nonlinear Delay Survival Red Blood Cells Model

Xitao Yang and Siping Tang