Results 1 to 10 of about 50 (50)
Open 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
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Positive solutions for discrete Minkowski curvature systems of the Lane-Emden type
Open 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
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Moroccan 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
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Moroccan 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
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Nonlinear elliptic equations by topological degree in Musielak-Orlicz-Sobolev spaces
, 2023 We prove by using the topological degree theory the existence of at least one weak solution for the nonlinear elliptic equation Mathematics Subject Classification (2010): 35J60, 35D30, 47J05, 47H11.
LAHMI, Badr, AIT HAMMOU, Mustapha
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Limit cycles of Liénard polynomial systems type by averaging method
Moroccan 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
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Semilinear systems with a multi-valued nonlinear term
Open Mathematics, 2017 Introducing a topological degree theory, we first establish some existence results for the inclusion h ∈ Lu − Nu in the nonresonance and resonance cases, where L is a closed densely defined linear operator on a Hilbert space with a compact resolvent and ...
Kim In-Sook, Hong Suk-Joon
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Global Perturbation of Nonlinear Eigenvalues
Advanced Nonlinear Studies, 2021 This paper generalizes the classical theory of perturbation of eigenvalues up to cover the most general setting where the operator surface 𝔏:[a,b]×[c,d]→Φ0(U,V){\mathfrak{L}:[a,b]\times[c,d]\to\Phi_{0}(U,V)}, (λ,μ)↦𝔏(λ,μ){(\lambda,\mu)\mapsto\mathfrak ...
López-Gómez Julián +1 more
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Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Advanced Nonlinear Studies, 2020 By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
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A Fredholm alternative for quasilinear elliptic equations with right-hand side measure
Advances 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
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