Results 21 to 30 of about 1,683 (93)
Positive solution of a fractional differential equation with integral boundary conditions
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo +2 more
semanticscholar +1 more source
Multiplicity results for asymmetric boundary value problems with indefinite weights
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 957-979, 2004., 2004 We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the form u″ + f(t, u) = 0, u(0) = u(T) = 0. The nonlinearity is supposed to satisfy asymmetric, asymptotically linear assumptions involving indefinite weights.
Francesca Dalbono
wiley +1 more source
A Higher Order Nonresonant p‐Laplacian Boundary Value Problem on an Unbounded Domain
Abstract and Applied AnalysisIn this article, we prove the existence of at least one solution to the nonresonant higher‐order p‐Laplacian boundary value problem of the form: with the nonresonant condition .
S. A. Iyase, O. F. Imaga
semanticscholar +1 more source
Existence of positive solutions of a superlinear boundary value problem with indefinite weight
, 2015 We deal with the existence of positive solutions for a two-point boundary value problem associated with the nonlinear second order equation $u''+a(x)g(u)=0$. The weight $a(x)$ is allowed to change its sign. We assume that the function $g\colon\mathopen{[}
A. Zettl +11 more
core +1 more source
Fractional Differential Calculus, 2019 In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
semanticscholar +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani +4 more
wiley +1 more source
Bounded solutions of Carathéodory differential inclusions: a bound sets approach
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 547-571, 2003., 2003 A bound sets technique is developed for Floquet problems of Carathéodory differential inclusions. It relies on the construction of either continuous or locally ipschitzian Lyapunov‐like bounding functions. Proceeding sequentially, the existence of bounded trajectories is then obtained. Nontrivial examples are supplied to illustrate our approach.
Jan Andres +2 more
wiley +1 more source
Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations [PDF]
, 2010 MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces.
Anguraj, A., Karthikeyan, P.
core
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
wiley +1 more source
Asymptotic formulas and critical exponents for two‐parameter nonlinear eigenvalue problems
Abstract and Applied Analysis, Volume 2003, Issue 11, Page 671-684, 2003., 2003 We study the nonlinear two‐parameter problem −u″(x) + λu(x) q = μu(x) p, u(x) > 0, x ∈ (0, 1), u(0) = u(1) = 0. Here, 1 < q < p are constants and λ, μ > 0 are parameters. We establish precise asymptotic formulas with exact second term for variational eigencurve μ(λ) as λ → ∞.
Tetsutaro Shibata
wiley +1 more source