Results 1 to 10 of about 192 (65)
A Fredholm alternative for quasilinear elliptic equations with right-hand side measure
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
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p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection
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
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A refined estimate for the topological degree [PDF]
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
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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
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Positive solutions for discrete Minkowski curvature systems of the Lane-Emden type
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
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The aim of this paper is to establish the existence of solutions for a nonlinear elliptic problem of the ...
Ait Hammou Mustapha, Azroul Elhoussine
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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
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New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay
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
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Limit cycles of Liénard polynomial systems type by averaging method
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
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Studies on concave Young-functions [PDF]
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.
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