POSITIVE SOLUTIONS OF SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE
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초록
In this paper, we study the self-adjoint second order boundary value problem with integral boundary conditions: (p(t)x0(t))0 + f(t; x(t)) = 0; t 2 (0; 1); x0(0) = 0; x(1) = Z 1 0 x(s)g(s)ds: A new result on the existence of positive solutions is obtained. The interesting points are: the ¯rst, 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.
Abstract
In this paper, we study the self-adjoint second order boundary value problem with integral boundary conditions: (p(t)x0(t))0 + f(t; x(t)) = 0; t 2 (0; 1); x0(0) = 0; x(1) = Z 1 0 x(s)g(s)ds: A new result on the existence of positive solutions is obtained. The interesting points are: the ¯rst, 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.
참고문헌 (8)
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