Singular Boundary Value Problems

Ravi P. Agarwal, Donal O’Regan and Patricia J. Y. Wong
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Ravi P. Agarwal: National University of Singapore, Department of Mathematics
Donal O’Regan: National University of Ireland, Department of Mathematics
Patricia J. Y. Wong: Nanyang Technological University, Division of Mathematics

Chapter Chapter 7 in Positive Solutions of Differential, Difference and Integral Equations, 1999, pp 63-85 from Springer

Abstract: Abstract In this chapter we shall provide existence criteria for the nonnegative solutions of the one-dimensional Dirichlet boundary value problem 7.1 $$ \begin{gathered} y'' - \mu q\left( t \right)f\left( {t,y} \right) = 0,0 0, a > 0, f(t, y) ≥ 0, i.e. the semi-positone problem and offer a sharper existence theorem. We shall also present two existence theorems for the nonnegative solutions of the singular mixed boundary value problem 7.2 $$\begin{array}{*{20}{c}} {\frac{1}{{p\left( t \right)}}{{{\left( {p\left( t \right)y'} \right)}}^{\prime }} + q\left( t \right)f\left( {t,y} \right) = 0,0

Keywords: Integral Equation; Ordinary Differential Equation; Existence Result; Existence Theorem; Absolute Maximum (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-9171-3_7

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DOI: 10.1007/978-94-015-9171-3_7

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