scholarly journals Solving Nonlinear Second Order Delay Eigenvalue Problems by Least Square Method

2020 ◽  
Vol 33 (4) ◽  
pp. 59
Author(s):  
Israa M. Salman ◽  
Eman A. Abdul-Razzaq
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Eigenvalue Problems ◽  
Least Square Method ◽  
Second Order ◽  
Least Square ◽  
Nonlinear Delay

     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.

scholarly journals The Nonlinear Delay Second Order Eigenvalue Problems Consist Of Delay Ordinary Differential Inequalities

2019 ◽  
Vol 17 (72) ◽  
pp. 19-24
Author(s):  
Eman. A. Abdul-Razzaq
Keyword(s):  
Eigenvalue Problems ◽  
Least Square Method ◽  
Second Order ◽  
Least Square ◽  
Differential Inequalities ◽  
Nonlinear Delay

     The aim of this paper is to study the nonlinear delay second order eigenvalue problems consist of delay ordinary differential inequalities, one of the expansion methods that called the least square method will be developed to solve this type of problems.

The interlacing of eigenvalues for periodic multi-parameter problems

1978 ◽  
Vol 80 (3-4) ◽  
pp. 357-362 ◽  
Author(s):  
Patrick J. Browne
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Periodic Boundary ◽  
Eigenvalue Problems ◽  
Periodic Boundary Conditions ◽  
Second Order ◽  
Image Position ◽  
Periodic Equation

SynopsisThis paper studies a linked system of second order ordinary differential equationswhere xx ∈ [ar, br] and the coefficients qrars are continuous, real valued and periodic of period (br − ar), 1 ≤ r,s ≤ k. We assume the definiteness condition det{ars(xr)} > 0 and 2k possible multiparameter eigenvalue problems are then formulated according as periodic or semi-periodic boundary conditions are imposed on each of the equations of (*). The main result describes the interlacing of the 2k possible sets of eigentuples thus extending to the multiparameter case the well known theorem concerning 1-parameter periodic equation.

Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations

1989 ◽  
Vol 112 (1-2) ◽  
pp. 145-153 ◽  
Author(s):  
Alessandro Fonda ◽  
Jean Mawhin
Keyword(s):  
Differential Equations ◽  
Variational Methods ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Quadratic Forms ◽  
Eigenvalue Problems ◽  
Boundary Value ◽  
Second Order ◽  
Non Linear

SynopsisSome known results for different kinds of boundary value problems for second order ordinary differential equations are generalised. Different approaches are compared with one another, using topological and variational methods and the theory of weighted eigenvalue problems.

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