Results 1 to 10 of about 1,841 (156)
Blowing-up solutions for time-fractional equations on a bounded domain
Advances in Mechanical Engineering, 2022 This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain.
Abdellatif Boutiara +4 more
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Boundary Value Problems, 2011 This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Ahmad Bashir, Nieto Juan
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Green's function for singular fractional differential equations and applications [PDF]
arXiv.org, 2022 In this paper, we study the existence of positive solutions for nonlinear fractional differential equation with a singular weight. We derive the Green’s function and corresponding integral operator and then examine compactness of the operator.
Jinsil Lee, Yong-Hoon Lee
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Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Advances in Nonlinear Analysis, 2022 In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory.
Long Yuhua
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Nonautonomous Dynamical Systems, 2021 This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions.
Mansouri Bouzid +2 more
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Malaya Journal of Matematik, 2022 In this paper we shall use the upper and lower solutions method to prove the existence of at least one solution for the second order equation defined on unbounded intervals with integral conditions on the boundary: u (t)−mu (t) + f(t, eu (t) , e u (t)) =
A. Cabada, R. Khaldi
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Miskolc Mathematical Notes, 2022 . In this paper, we study the existence of a non-trivial solution in W 1 , p ( x ) 0 ( Ω ) for the problem (cid:40) ∆ p ( x ) u = f ( x , u , ∇ u ) in Ω , u = 0 in Ω . The proof is based on Schaefer’s fixed point theorem.
S. Ayadi, Ozgur Ege
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Journal of Advances in Applied & Computational Mathematics, 2022 This research paper aims to establish the uniqueness of the solution to fourth-order nonlinear differential equations v(4)(x) + f (x,v(x)) = 0, x ε [a,b], with non-homogeneous boundary conditions where 0 ≤ a < ζ < b, the constants α, ????
Madhubabu B, N. Sreedhar, K. R. Prasad
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Third-order differential equations with three-point boundary conditions
Open Mathematics, 2021 In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
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Open Mathematics, 2020 We examine the existence and uniqueness of solutions to two-point boundary value problems involving fourth-order, ordinary differential equations. Such problems have interesting applications to modelling the deflections of beams.
Almuthaybiri Saleh S. +1 more
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