Results 11 to 20 of about 59 (57)
One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign
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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Periodic solutions for second order differential equations with indefinite singularities
Advances in Nonlinear Analysis, 2019 In this paper, the problem of periodic solutions is studied for second order differential equations with indefinite ...
Lu Shiping, Yu Xingchen
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Global behavior of positive solutions for some semipositone fourth-order problems
Advances in Difference Equations, 2018 In this paper, we study the global behavior of positive solutions of fourth-order boundary value problems {u′′′′=λf(x,u),x∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0, $$ \textstyle\begin{cases} u''''=\lambda f(x,u), \quad x\in (0,1), \\ u(0)=u(1)=u''(0)=u''(1)=0 ...
Dongliang Yan, Ruyun Ma
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Nonnegative solutions for a class of fourth order singular eigenvalue problems [PDF]
In this paper, we discuss the existence of nonnegative solutions to a fourth order singular boundary value problem at two points. Our result is based on a recent Birkhoff-Kellogg type fixed point theorem developed on translates of a cone on a Banach ...
GEORGIEV, Svetlin Georgiev +2 more
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Coupled system of sequential partial σ (., .) Hilfer fractional differential equations with weighted double phase operator: Existence, Hyers-Ulam stability and controllability [PDF]
In this paper, we are concerned by a sequential partial Hilfer fractional differential system with weighted double phase operator. First, we introduce the concept of Hyers-Ulam stability with respect to an operator L for an abstract equation of the ...
BENKACI-ALI, Nadir
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi +3 more
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Higher-order impulsive coupled systems with ϕ-Laplacian and generalized jump conditions
Demonstratio MathematicaThis work contains a general theory for coupled systems, with regular and singular semi-linear fully differential equations of higher order, with the possibility of equations of different order and generalized impulsive effects, depending on both ...
Minhós Feliz, Rodrigues Gracino
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A Counterexample for Singular Equations with Indefinite Weight
Advanced Nonlinear Studies, 2017 We construct a second-order equation x¨=h(t)/xp{\ddot{x}=h(t)/x^{p}}, with p>1{p>1} and the sign-changing, periodic weight function h having negative mean, which does not have periodic solutions.
Ureña Antonio J.
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Advanced Nonlinear Studies, 2019 Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h(t)g(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
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Advances in Nonlinear AnalysisContinuing our previous study (P. Drábek, S. Jung, E. Ko, and M. Zahradníková, Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients, J. Math. Anal. Appl. 539 (2024), no.
Drábek Pavel +3 more
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