Results 41 to 50 of about 1,790 (138)

Bounded solutions of Carathéodory differential inclusions: a bound sets approach

open access: yesAbstract 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

Unbounded solutions of third order three-point boundary value problems on a half-line

open access: yesAdvances in Nonlinear Analysis, 2016
We consider the following third order three-point boundary value problem on a half-line: x'''(t)+q(t)f(t,x(t),x'(t),x''(t)) = 0, t ∈ (0,+∞), x'(0) = A, x(η) = B, x''(+∞) = C, where η ∈ (0,+∞), but fixed, and f : [0,+∞) × ℝ3 → ℝ satisfies Nagumo's ...
Agarwal Ravi P., Çetin Erbil
doaj   +1 more source

Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations [PDF]

open access: yes, 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  

Nonlinear Second Order Scalar Differential Inclusion Involving a Singular Φ−Laplacian Operator, With Nonlinear General Boundary Conditions

open access: yesInternational 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

open access: yesAbstract 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

Some nonlinear second order equation modelling rocket motion [PDF]

open access: yes, 2015
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force.
Bors, Dorota, Stańczy, Robert
core  

Existence results to a nonlinear p(k)-Laplacian difference equation

open access: yes, 2017
In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated.
Avci, Mustafa, Moghadam, Mohsen Khaleghi
core   +1 more source

Advanced Fixed Point Methods for Analyzing Coupled Caputo Q‐Fractional Boundary Value Problems With Supportive Examples

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo‐type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed‐point theory, specifically Banach’s fixed‐point theorem ...
Hasanen A. Hammad   +3 more
wiley   +1 more source

On boundary value problems for degenerate differential inclusions in Banach spaces

open access: yesAbstract and Applied Analysis, Volume 2003, Issue 13, Page 769-784, 2003., 2003
We consider the applications of the theory of condensing set‐valued maps, the theory of set‐valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space.
Valeri Obukhovskii, Pietro Zecca
wiley   +1 more source

Stagnation-point flow over a permeable stretching/shrinking sheet in a copper-water nanofluid

open access: yes, 2013
An analysis is carried out to study the heat transfer characteristics of steady two-dimensional stagnation-point flow of a copper (Cu)-water nanofluid over a permeable stretching/shrinking sheet.
N. Bachok   +3 more
semanticscholar   +1 more source

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