Results 1 to 10 of about 192 (65)

A Fredholm alternative for quasilinear elliptic equations with right-hand side measure

open access: yesAdvances in Nonlinear Analysis, 2016
We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory
Colturato Michele, Degiovanni Marco
doaj   +2 more sources

p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection

open access: yesNonautonomous Dynamical Systems, 2023
This article establishes the existence of a weak solution for a class of p(x)p\left(x)-Kirchhoff-type problem under no-flux boundary conditions with a reaction term depending also on the gradient convection. The proof of the main result is constructed by
Yacini Soukaina   +3 more
doaj   +1 more source

A refined estimate for the topological degree [PDF]

open access: yes, 2017
We sharpen an estimate of Bourgain, Brezis, and Nguyen for the topological degree of continuous maps from a sphere $\mathbb{S}^d$ into itself in the case $d \ge 2$. This provides the answer for $d \ge 2$ to a question raised by Brezis.
Nguyen, Hoai-Minh
core   +11 more sources

Positive solutions for boundary value problems of a class of second-order differential equation system

open access: yesOpen Mathematics, 2023
This article discusses the existence of positive solutions for the system of second-order ordinary differential equation boundary value problems −u″(t)=f(t,u(t),v(t),u′(t)),t∈[0,1],−v″(t)=g(t,u(t),v(t),v′(t)),t∈[0,1],u(0)=u(1)=0,v(0)=v(1)=0,\left\{\begin{
Wang Dan, Li Yongxiang, Su Yi
doaj   +1 more source

Positive solutions for discrete Minkowski curvature systems of the Lane-Emden type

open access: yesOpen Mathematics, 2023
We study the one-parameter discrete Lane-Emden systems with Minkowski curvature operator ΔΔu(k−1)1−(Δu(k−1))2+λμ(k)(p+1)up(k)vq+1(k)=0,k∈[2,n−1]Z,ΔΔv(k−1)1−(Δv(k−1))2+λμ(k)(q+1)up+1(k)vq(k)=0,k∈[2,n−1]Z,Δu(1)=u(n)=0=Δv(1)=v(n),\left\{\begin{array}{ll ...
Liang Yongwen, Chen Tianlan
doaj   +1 more source

Existence result for a nonlinear elliptic problem by topological degree in Sobolev spaces with variable exponent

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The aim of this paper is to establish the existence of solutions for a nonlinear elliptic problem of the ...
Ait Hammou Mustapha, Azroul Elhoussine
doaj   +1 more source

Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
doaj   +1 more source

New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay

open access: yesNonautonomous Dynamical Systems, 2022
We consider a Rayleigh-type equation with state–dependent delay ℘″(ϑ)+𝒱1(ϑ,℘(ϑ))+A(℘(ϑ−𝒱2(ϑ,℘(ϑ))))=B(ϑ).\wp ''\left( \vartheta \right) + \mathcal{V}{_1}\left( {\vartheta ,\wp \left( \vartheta \right)} \right) + A\left( {\wp \left( {\vartheta ...
Eswari Rajendiran   +4 more
doaj   +1 more source

Limit cycles of Liénard polynomial systems type by averaging method

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
We apply the averaging theory of first and second order for studying the limit cycles of generalized polynomial Linard systems of the ...
Boulfoul Amel, Mellahi Nawal
doaj   +1 more source

Studies on concave Young-functions [PDF]

open access: yes, 2005
We succeeded to isolate a special class of concave Young-functions enjoying the so-called \emph{density-level property}. In this class there is a proper subset whose members have each the so-called degree of contraction denoted by $c^{\ast}$, and map ...
Agbeko, N. K.
core   +2 more sources

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