Abstract
A class of second-order three-point integral boundary value problems at resonance is investigated in this paper. Using intermediate value theorems, we obtain a sufficient condition for the existence of the solution for the equation. An example is given to demonstrate our main results.MSC:34B10, 34B16, 34B18.
Highlights
1 Introduction We are interested in the existence of the solutions for the following second-order threepoint integral boundary value problems at resonance: u (t) + f t, u(t) =, ≤ t ≤, ( . )
In [ ], Infante and Zima studied the existence of solutions for the following n-point boundary value problem with resonance: u (t) + f t, u(t) =, ≤ t ≤, ( . )
Leggett-Williams norm-type theorem, they obtained the existence of a positive solution for problem ( . )-( . )
Summary
1 Introduction We are interested in the existence of the solutions for the following second-order threepoint integral boundary value problems at resonance: u (t) + f t, u(t) = , ≤ t ≤ , In [ ], Infante and Zima studied the existence of solutions for the following n-point boundary value problem with resonance: u (t) + f t, u(t) = , ≤ t ≤ , Leggett-Williams norm-type theorem, they obtained the existence of a positive solution for problem
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