scholarly journals Existence of positive radial solutions for a weakly coupled system via blow up

1998 ◽  
Vol 3 (1-2) ◽  
pp. 105-131 ◽  
Author(s):  
Marta García-Huidobro ◽  
Ignacio Guerra ◽  
Raúl Manásevich
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Blow Up ◽  
Coupled System ◽  
Radial Solutions ◽  
Weakly Coupled ◽  
Weakly Coupled System ◽  
Positive Radial Solutions ◽  
Existence Of Positive Solutions

The existence of positive solutions to certain systems of ordinary differential equations is studied. Particular forms of these systems are satisfied by radial solutions of associated partial differential equations.

scholarly journals The existence of periodic solutions for systems of ordinary differential equations

1998 ◽  
Vol 151 ◽  
pp. 145-160
Author(s):  
Yong-Hoon Lee
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Periodic Solutions ◽  
Coincidence Degree ◽  
Coupled System ◽  
Multiplicity Result ◽  
Differential Inequalities ◽  
Weakly Coupled ◽  
Weakly Coupled System ◽  
Existence Of Periodic Solutions

Abstract.We prove a multiplicity result of 2π-periodic solutions for certain weakly coupled system of ordinary differential equations with real parameters. The proofs are based on differential inequalities and coincidence degree.

High Accuracy Simulation for the Weakly Coupled System of Two Second Order Ordinary Differential Equations

2011 ◽  
Vol 467-469 ◽  
pp. 377-382
Author(s):  
Xin Cai
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Asymptotic Properties ◽  
Coupled System ◽  
Second Order ◽  
Third Order ◽  
Multi Scale ◽  
Weakly Coupled ◽  
Weakly Coupled System ◽  
Component Systems

Coupled system of two second order ordinary differential equations with small parameter was considered. This is a multi-scale system. The solution of the system will change rapidly near both sides of the boundary layer. The system was decomposed into several systems in order to have fourth order asymptotic decomposition firstly. The asymptotic properties of all these systems were discussed secondly. The third order numerical methods were constructed for left side and right side singular component systems thirdly. The error estimation for the system was given finally.

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