One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign [PDF]
Advances in Nonlinear Analysis, 2016 Let Ω be a bounded open interval, let p>1${p>1}$ and γ>0${\gamma>0}$, and let m:Ω→ℝ${m:\Omega\rightarrow\mathbb{R}}$ be a function that may change sign in Ω.
Kaufmann Uriel, Medri Iván
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Exact boundary behavior of the unique positive solution for singular second-order differential equations [PDF]
, 2015 In this paper, we give the exact asymptotic behavior of the unique positive solution to the following singular boundary value problem \begin{equation*} \begin{cases} -\frac{1}{A}(Au^{\prime })^{\prime }=p(x)g(u),\quad x\in (0,1), \\ u>0,\quad \text{in ...
Bachar, Imed, Maagli, Habib
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Nonlinear Engineering, 2022 This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang +4 more
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Boundary value problems associated with singular strongly nonlinear equations with functional terms
Advances in Nonlinear Analysis, 2020 We study boundary value problems associated with singular, strongly nonlinear differential equations with functional terms of ...
Biagi Stefano +3 more
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Open Mathematics, 2021 This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto +2 more
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On multi-step methods for singular fractional q-integro-differential equations
Open Mathematics, 2021 The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α\alpha , the existence of solutions for the singular fractional q-integro-differential equation Dqα[k](t)=Ω(t,k1,k2,k3,k4){{\mathcal{D}}}_{q}^
Hajiseyedazizi Sayyedeh Narges +3 more
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π/4-tangentiality of solutions for one-dimensional Minkowski-curvature problems
Advances in Nonlinear Analysis, 2020 We analyze π4$\begin{array}{} \frac{\pi}{4} \end{array} $-tangentiality of solutions for several types of scalar equations and systems of one-dimensional Minkowski-curvature problems with two points Dirichlet boundary conditions, which is dependent on ...
Yang Rui, Sim Inbo, Lee Yong-Hoon
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Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
, 2015 We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
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Positive Solution of Singular BVPs for System of Dynamic Equations on Time Scales [PDF]
, 2012 This paper is devoted to derive some necessary and suficient conditions for the existence of positive solutions to a singular second order system of dynamic equations with Dirichlet boundary conditions.
Lago, Ariadna +2 more
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Boundary Layer Effects on Ionic Flows Via Classical Poisson-Nernst-Planck Systems
Computational and Mathematical Biophysics, 2018 A quasi-one-dimensional steady-state Poisson-Nernst-Planck model of two oppositely charged ion species through a membrane channel is analyzed. The model problem is treated as a boundary value problem of a singularly perturbed differential system.
Zhang Mingji
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