Abstract
In this paper, we study the existence of positive solutions of a second-order delayed differential system, in which the weight functions may change sign. To prove our main results, we apply Krasnosel’skii’s fixed point theorems in cones.
Highlights
1 Introduction This paper is mainly concerned with the existence of positive solutions of a second-order two-delay differential system with h1(t)f1(x1(t h2(t)f2(x1(t
Candan [4, 5] applied Krasnosel’skii’s fixed point theorem for the sum of a completely continuous and a contraction mapping to prove the existence of positive periodic solutions for the first- order neutral differential equation
To the best of our knowledge, many papers are concerned with the existence of positive solutions of differential equations with indefinite weight functions by using various methods, such as the fixed point theorems, the Leray–Schauder degree theory, bifurcation and so on
Summary
Candan [4, 5] applied Krasnosel’skii’s fixed point theorem for the sum of a completely continuous and a contraction mapping to prove the existence of positive periodic solutions for the first- (second-) order neutral differential equation. To the best of our knowledge, many papers are concerned with the existence of positive solutions of differential equations with indefinite weight functions by using various methods, such as the fixed point theorems, the Leray–Schauder degree theory, bifurcation and so on.
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