Second Order Iterative Dynamic Boundary Value Problems with Mixed Derivative Operators with Applications

被引：6

作者：

Alzabut, Jehad ^{[1
,2
]}

Khuddush, Mahammad ^{[3
]}

Selvam, A. George Maria ^{[4
]}

Vignesh, D. ^{[4
]}

机构：

[1] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[2] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye

[3] Dr Lankapalli Bullayya Coll Engn, Dept Math, Visakhapatnam 530013, Andhra Pradesh, India

[4] Sacred Heart Coll Autonomous, Dept Math, Tirupattur 635601, Tamil Nadu, India

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 01期

关键词：

Iterative differential equation; Functional boundary value problem; Time scale; Mixed derivatives; DIFFERENTIAL-EQUATION;

D O I：

10.1007/s12346-022-00736-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive sufficient conditions for the existence and uniqueness of solutions of the iterative dynamic boundary value problem of second order with mixed derivative operators. For the existence, we utilize Schauder's fixed point theorem while for uniqueness we apply contraction mapping principle. Further, a continuous dependence of bounded solutions to the addressed problem is studied. Finally, we demonstrate the validity of our findings by constructing examples as applications to beam deflection due to thermal stress and temperature distribution along the wire.

引用

页数：19

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