Abstract
The aim of this paper is to study the nonlinear delay second order eigenvalue problems which consists of delay ordinary differential equations, in fact one of the expansion methods that is called the least square method which will be developed to solve this kind of problems.
Highlights
The nonlinear delay second order eigenvalue problems consist of delay nonlinear ordinary differential equations with the boundary conditions defined on some intervals, this kind of equations has many applications in different scientific fields, such as physical, biological and engineering science
The delay differential equation is said to be nonlinear when it is nonlinear with respect to the unknown function that enter with different arguments and their derivatives that appeared in it, [1]
The delay eigen-value problem consist of delay ordinary differential equation is said to be nonlinear when it is nonlinear with respect to the unknown eigen-function enter with different arguments and their derivatives that appeared in it
Summary
The nonlinear delay second order eigenvalue problems consist of delay nonlinear ordinary differential equations with the boundary conditions defined on some intervals, this kind of equations has many applications in different scientific fields, such as physical, biological and engineering science. It is one of the most important application referred to as a delay nonlinear eigenvalue problem, [1]. The delay eigenvalue problem belongs to a wide class of problems whose eigenvalues and eigen-functions have nice properties, [2]. We study and solve this kind of problems by least square method
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