Document Details

Document Type : Thesis 
Document Title :
NONLOCAL NONLINEAR BOUNDARY VALUE PROBLEMS ON AN ARBITRARY DOMAIN
مسائل القيم الحدية غير خطية غير محلية على مجال اختياري
 
Subject : faculty of science 
Document Language : Arabic 
Abstract : Some new boundary value problems of nonlinear ordinary differential equations supplemented with different types of nonlocal boundary conditions have been studied in this thesis. In Chapter 2, we investigate the existence and uniqueness of solutions, and Ulam stability for a second-order nonlinear boundary value problem involving nonlocal non-separated type integral multi-point boundary conditions on an arbitrary domain. We also extend our discussion to the case of integro-differential equations. Chapter 3 deals with the study of a nonlinear second-order differential equation with nonlinearity depending upon the unknown function together with its first derivative, and complemented with nonlocal integral and multi-strip boundary conditions. The multi-valued case of this problem is also considered. Chapter 4 is concerned with the existence of solutions for a coupled system of nonlinear ordinary differential equations subject to nonlocal integral multi-strip boundary conditions on an arbitrary interval. In Chapter 5, we discuss the solvability and Ulam stability of a nonlocal nonlinear third-order integro multi-point and multi-strip boundary value problem. The last Chapter is devoted to the study of a coupled system of nonlinear third-order ordinary differential equations equipped with nonlocal multi-point anti-periodic type boundary conditions. The contents of Chapter 2, 3, 4, 5 and 6 have been published (see the list of publications on page ix). 
Supervisor : Prof. Ahmed Alsaedi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2020 AD 
Co-Supervisor : Prof. Bashir Ahmad 
Added Date : Wednesday, February 26, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
منى رزق الله السلميAlsulami, Mona RizgallahResearcherDoctorate 

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