Results 21 to 30 of about 125 (84)
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
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
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
On boundary value problems for degenerate differential inclusions in Banach spaces
Abstract 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
Unbounded solutions of third order three-point boundary value problems on a half-line
Advances 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
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we study a class of asymptotically linear fractional nonlocal boundary value problems depending on the fractional derivative of lower order; the nonlinear term may be sign‐changing. By using the theory of fixed point index for asymptotically linear operators and the Banach contraction mapping principle, the multiplicity and uniqueness of
You Wu +4 more
wiley +1 more source
Three periodic solutions to an eigenvalue problem for a class of second‐order Hamiltonian systems
Abstract and Applied Analysis, Volume 2003, Issue 18, Page 1037-1045, 2003., 2003 We establish a multiplicity result to an eigenvalue problem related to second‐order Hamiltonian systems. Under new assumptions, we prove the existence of an open interval of positive eigenvalues in which the problem admits three distinct periodic solutions.
Giuseppe Cordaro
wiley +1 more source
Multi-term fractional differential equations with nonlocal boundary conditions
Open Mathematics, 2018 We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir +3 more
doaj +1 more source
2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 12, Page 751-760, 2002., 2002 We consider the boundary value problem −u″(x) = λf(u(x)), x ∈ (0, 1); u′(0) = 0; u′(1) + αu(1) = 0, where α > 0, λ > 0 are parameters and f ∈ c2[0, ∞) such that f(0) < 0. In this paper, we study for the two cases ρ = 0 and ρ = θ (ρ is the value of the solution at x = 0 and θ is such that F(θ) = 0 where F(s)=∫0sf(t)dt) the relation between λ and the ...
G. A. Afrouzi, M. Khaleghy Moghaddam
wiley +1 more source