Work

Integral boundary value problems for second-order causal differential equations

Year: 2025

Type: article

Abstract: This paper is concerned with second-order causal differential equations with Riemann–Stieltjes integral boundary conditions. To obtain sufficient conditions for the existence of extremal solutions for such problems, a novel comparison principle is first formulated. Next, the existence and uniqueness of the solutions for the second-order linear differential equations are proved based on the fixed point theorem. Then, the monotone iterative technique is employed to investigate the existence of the extremal solution, with the relative results being derived on the basis of upper and lower solutions. Finally, an example is provided to verify the theoretical results.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02030-w

Authors: Wenli Wang, Junyan Bao

Institution: Hebei University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: National Natural Science Foundation of China