Abstract
In this paper, we investigate the existence of solutions for some second-order integral boundary value problems, by applying new fixed point theorems in Banach spaces with the lattice structure derived by Sun and Liu. MSC:34B15, 34B18, 47H11.
Highlights
In this paper, we consider the following second-order integral boundary value problem: ⎧⎨–x (t) = f (t, x(t)), ≤ t ≤,⎩x( ) =, x( ) = a(s)x(s) ds, ( . )where f ∈ C([, ] × R, R), a ∈ L[, ] is nonnegative with a (s)
The study of three-point boundary value problems for nonlinear second-order ordinary differential equations was initiated by Gupta
The integral boundary value problems of ordinary differential equations arise in different areas of applied mathematics and physics such as heat conduction, underground water flow, thermo-elasticity and plasma physics
Summary
1 Introduction In this paper, we consider the following second-order integral boundary value problem: The multi-point boundary value problems for ordinary differential equations have been well studied, especially on a compact interval. The study of three-point boundary value problems for nonlinear second-order ordinary differential equations was initiated by Gupta (see [ ]).
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