Boundary value problems for second-order causal differential equations

被引：0
|
作者：
Wenli Wang
Peiguang Wang
机构：
[1] Hebei University,School of Management
[2] Hebei University,College of Mathematics and Information Science, Key Laboratory of Machine Learning and Computational Intelligence
来源：
Boundary Value Problems | / 2022卷
关键词：
Causal differential equations; Two-point boundary conditions; Monotone iterative technique; Extremal solutions;
D O I：
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摘要：
This paper focuses on second-order differential equations involving causal operators with nonlinear two-point boundary conditions. By applying the monotone iterative technique in the presence of upper and lower solutions, with a new comparison theorem, we obtain the existence of extremal solutions. This is an extension of classical theory of second-order differential equations. Finally, we present two examples to show the usefulness of our results.
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