Positive solutions of some quasilinear partial differential inequalities and systems

2006 ◽  
Vol 279 (8) ◽  
pp. 831-842 ◽  
Author(s):  
Evgeny Galakhov
Keyword(s):  
Positive Solutions ◽  
Differential Inequalities ◽  
Partial Differential

8.—On Second-order Differential Inequalities

1974 ◽  
Vol 72 (2) ◽  
pp. 109-127 ◽  
Author(s):  
F. V. Atkinson
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Second Order ◽  
Differential Inequalities ◽  
Existence Of Positive Solutions ◽  
Image Position

SynopsisThis paper is devoted to a study of differential equations and inequalities of the formandThe results are mainly concerned with the existence of positive solutions, their uniqueness in the case of (*), and bounds for these solutions.

scholarly journals Existence of Positive Solutions and Its Asymptotic Behavior of (p(x), q(x))-Laplacian Parabolic System

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 332 ◽  
Author(s):  
Hamza Medekhel ◽  
Salah Boulaaras ◽  
Khaled Zennir ◽  
Ali Allahem
Keyword(s):  
Asymptotic Behavior ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Parabolic System ◽  
Stationary Case ◽  
Partial Differential ◽  
Existence Of Positive Solutions

This paper deals with the existence of positively solution and its asymptotic behavior for parabolic system of ( p ( x ) , q ( x ) ) -Laplacian system of partial differential equations using a sub and super solution according to some given boundary conditions, Our result is an extension of Boulaaras’s works which studied the stationary case, this idea is new for evolutionary case of this kind of problem.

scholarly journals Positive Solutions of a Nonlinear Parabolic Partial Differential Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Chengbo Zhai ◽  
Shunyong Li
Keyword(s):  
Differential Equation ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Monotone Operators ◽  
Parabolic Partial Differential Equation ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential ◽  
Nonlinear Parabolic ◽  
Mixed Monotone Operators

We deal with the existence and uniqueness of positive solutions to a class of nonlinear parabolic partial differential equations, by using some fixed point theorems for mixed monotone operators with perturbation.

SAINT-VENANT TYPE DECAY RESULTS FOR ILL-POSED ELLIPTIC PROBLEMS

2000 ◽  
Vol 10 (05) ◽  
pp. 771-783 ◽  
Author(s):  
KAREN A. AMES ◽  
LAWRENCE E. PAYNE
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Elliptic Problems ◽  
Vital Role ◽  
Cylindrical Domain ◽  
Differential Inequalities ◽  
Partial Differential ◽  
First Order ◽  
Decay Of Solutions ◽  
Ill Posed

Differential inequalities play a vital role in the study of ordinary and partial differential equations. In this paper we make use of first-order differential inequalities to investigate the decay of solutions to two ill-posed elliptic problems in a semi-infinite cylindrical domain.

scholarly journals Nonexistence of positive solutions for 2pth order integro-differential inequalities

1997 ◽  
Vol 10 (6) ◽  
pp. 63-69
Author(s):  
R.P. Agarwal ◽  
Fu-Hsiang Wong ◽  
Shiueh-Ling Yu
Keyword(s):  
Positive Solutions ◽  
Differential Inequalities
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