Abstract
In this paper we deal with one kind of second order periodic-integrable boundary value problem. Using the lemma on bilinear form and Schauder’s fixed point theorem, we give the existence and uniqueness of solutions for the problem under Lazer type nonresonant condition.MSC:34B15, 34B16, 37J40.
Highlights
1 Introduction and main results In this paper, we consider the solutions to the following periodic-integrable boundary value problem: p(t)x + f (t, x) =, T
As we all know Lazer type conditions are essential for the existence and uniqueness of periodic solutions of equations [ – ]
In [ ] the existence of periodic solutions has been considered for the following second order equation: p(t)x + f (x, t) =
Summary
By Lemma (α = a and β = b) the two points boundary value problem p(t)x + q(t)x = , By the definitions of a and b, one has x∗(t) > for all t ∈ , a) ∪
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