Results 41 to 50 of about 732 (114)
1/2-Laplacian problems with exponential nonlinearity
, 2013 By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth ...
Iannizzotto, Antonio, Squassina, Marco
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An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solution [PDF]
, 1988 Sin ...
Jódar, Lucas
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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
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k‐component disconjugacy for systems of ordinary differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 2, Page 373-380, 1986., 1986 Disconjugacy of the kth component of the mth order system of nth order differenttal equations Y(n) = f(x, Y, Y′, …, Y(n−1)), (1.1), is defined, where f(x, Y1, …, Yn), are continuous. Given a solution Y0(x) of (1.1), k‐component disconjugacy of the variational equation , (1.2), is also studied.
Johnny Henderson
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Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence
, 2017 By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on the first
Infante, Gennaro, Minhós, Feliz
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Existence of solutions for fractional differential equations with integral boundary conditions
Advances in Differential Equations, 2014 In this paper, we study boundary-value problems for the following nonlinear fractional differential equations involving the Caputo fractional derivative: D0+αCx(t)=f(t,x(t),CD0+βx(t)), t∈[0,1], x(0)+x′(0)=y(x), ∫01x(t)dt=m, x″(0)=x‴(0)=⋯=x(n−1)(0)=0 ...
R. Yan +3 more
semanticscholar +1 more source
Journal 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
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Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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, 2013 We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek +1 more
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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
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