EXISTENCE OF SYMMETRIC POSITIVE SOLUTIONS FOR LIDSTONE TYPE INTEGRAL BOUNDARY VALUE PROBLEMS

This paper establishes the existence of even number of symmetric positive solutions for the even order differential equation[(-1).sup.n] [u.sup.(2n)](t) = f(t, u(t)), t[member of] (0, 1),satisfying Lidstone type integral boundary conditions of the form[mathematical expression not reproducible]where...

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Published inTWMS journal of applied and engineering mathematics Vol. 8; no. 1A; p. 295
Main Authors Sreedhar, N, Prasad, K.R, Balakrishna, S
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2018
Elman Hasanoglu
Subjects
Boundary value problems
Differential equations
Existence theorems
Integrals
Mathematical research
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Summary:This paper establishes the existence of even number of symmetric positive solutions for the even order differential equation[(-1).sup.n] [u.sup.(2n)](t) = f(t, u(t)), t[member of] (0, 1),satisfying Lidstone type integral boundary conditions of the form[mathematical expression not reproducible]where n [greater than or equal to] 1, by applying Avery-Henderson fixed point theorem.Key words: Green's function, integral boundary conditions, cone, positive solution, fixed point theorem.AMS Subject Classification: 34B10, 34B15.
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ISSN:2146-1147
2146-1147