Solutions of non-homogeneous linear set-valued differential equations

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-05-23 DOI:10.1016/j.nonrwa.2025.104411

Uma Maheswara Rao Epuganti, Gnana Bhaskar Tenali

引用次数: 0

Abstract

We study the linear non-homogeneous set-valued differential equations involving a notion of generalized derivative that includes the Hukuhara, Bede–Gal (BG), and Plotnikov–Skripnik (PS) derivatives. We consider the associated initial value problems and, using their equivalent integral equations, obtain some general as well as constructive formulas for the solutions. Several illustrative examples are provided.

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非齐次线性集值微分方程的解

研究了广义导数概念下的线性非齐次集值微分方程，广义导数包括Hukuhara、Bede-Gal （BG）和Plotnikov-Skripnik （PS）导数。我们考虑了相关的初值问题，并利用它们的等价积分方程，得到了一些解的一般公式和构造式。提供了几个说明性的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.