scholarly journals Positive solutions for a second-order differential system

2011 ◽  
Vol 373 (2) ◽  
pp. 370-375 ◽  
Author(s):  
Fanglei Wang ◽  
Yukun An
Keyword(s):  
Positive Solutions ◽  
Differential System ◽  
Second Order

scholarly journals A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
B. Muatjetjeja ◽  
C. M. Khalique
Keyword(s):  
Positive Solutions ◽  
Differential System ◽  
Variational Approach ◽  
First Integrals ◽  
Second Order ◽  
Point Of View ◽  
Lagrangian Formulation ◽  
Multiple Positive Solutions ◽  
First Order ◽  
Ordinary Differential System

This paper studies the coupled inhomogeneous Lane-Emden system from the Lagrangian formulation point of view. The existence of multiple positive solutions has been discussed in the literature. Here we aim to classify the system with respect to a first-order Lagrangian according to the Noether point symmetries it admits. We then obtain first integrals of the various cases which admit Noether point symmetries.

scholarly journals On positive solutions of second-order delayed differential system with indefinite weight

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Fanglei Wang ◽  
Ran Ding
Keyword(s):  
Fixed Point ◽  
Positive Solutions ◽  
Differential System ◽  
Fixed Point Theorems ◽  
Second Order ◽  
Weight Functions ◽  
Indefinite Weight ◽  
Existence Of Positive Solutions

AbstractIn this paper, we study the existence of positive solutions of a second-order delayed differential system, in which the weight functions may change sign. To prove our main results, we apply Krasnosel’skii’s fixed point theorems in cones.

scholarly journals Positive solutions of a discrete second-order boundary value problems with fully nonlinear term

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Liyun Jin ◽  
Hua Luo
Keyword(s):  
Positive Solutions ◽  
Fixed Point Index ◽  
Nonlinear Term ◽  
Boundary Value ◽  
Index Theory ◽  
Second Order ◽  
Fully Nonlinear ◽  
Fixed Point Index Theory ◽  
Weaker Conditions ◽  
Lower Limits

Abstract In this paper, we mainly consider a kind of discrete second-order boundary value problem with fully nonlinear term. By using the fixed-point index theory, we obtain some existence results of positive solutions of this kind of problems. Instead of the upper and lower limits condition on f, we may only impose some weaker conditions on f.

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