POSITIVE SOLUTIONS OF SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE

Yang, Aijun; Yang, Aijun; Ge, Weigao; Ge, Weigao

P-ISSN3059-0604
E-ISSN3059-1309
KCI

Home

OA Policy

ISSN : 3059-0604

Article Contents

Prev Next

e-Submission

Vol.15 No.4

Citation Share

POSITIVE SOLUTIONS OF SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2008, v.15 no.4, pp.407-414

Yang, Aijun
Ge, Weigao

Yang,, A. , & Ge,, W. (2008). POSITIVE SOLUTIONS OF SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE. , 15(4), 407-414.

copy

Abstract

In this paper, we study the self-adjoint second order boundary value problem with integral boundary conditions: (p(t)x'(t))'+f(t,x(t))=0, t <TEX> ${\in}$ </TEX> (0,1), x'(0)=0, x(1) = <TEX> ${\int}_0^1$ </TEX> x(s)g(s)ds. A new result on the existence of positive solutions is obtained. The interesting points are: the first, we employ a new tool-the recent Leggett-Williams norm-type theorem for coincidences; the second, the boundary value problem is involved in integral condition; the third, the solutions obtained are positive.

keywords: boundary value problem, resonance, cone, positive solution, coincidence

바로가기메뉴

Article Contents

Vol.15 No.4

POSITIVE SOLUTIONS OF SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics