Results 11 to 20 of about 623 (90)
A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]
Boundary Value Problems, (2014) 2014:254, 2014 We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
Cabada, Alberto +2 more
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1/2-Laplacian problems with exponential nonlinearity [PDF]
arXiv, 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
core +2 more sources
Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence [PDF]
Mediterranean Journal of Mathematics, (2017), 14: 242, 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
core +2 more sources
The Fourier transform and convolutions generated by a differential operator with boundary condition on a segment [PDF]
arXiv, 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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On the solvability of a parameter-dependent cantilever-type BVP [PDF]
Applied Mathematics Letters, Volume 132, 2022, 108090, 2022 We discuss the solvability of a parameter dependent cantilever-type boundary value problem. We provide an existence and localization result for the positive solutions via a Birkhoff-Kellogg type theorem. We also obtain, under additional growth conditions, upper and lower bounds for the involved parameters. An example is presented in order to illustrate
arxiv +1 more source
Resonant mixed fractional-order p-Laplacian boundary value problem on the half-line
Nonautonomous Dynamical Systems, 2021 This study aims at establishing the solvability of a fractional-order p-Laplacian boundary value problem involving both the left Caputo and right Riemann-Liouville fractional derivatives on the half-line.
Imaga O. F., Iyase S. A., Odekina O. G.
doaj +1 more source
On a first-order differential system with initial and nonlocal boundary conditions
Demonstratio Mathematica, 2022 This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions.
Ngoc Le Thi Phuong, Long Nguyen Thanh
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Demonstratio Mathematica, 2022 By using the theory of fixed point index and spectral theory of linear operators, we study the existence of positive solutions for Riemann-Liouville fractional differential equations at resonance. Our approach will provide some new ideas for the study of
Wang Youyu, Huang Yue, Li Xianfei
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 39, Page 2049-2063, 2004., 2004 A new fixed point theorem on cones is applied to obtain the existence of at least two positive solutions of a higher‐order three‐point boundary value problem for the differential equation subject to a class ofboundary value conditions. The associated Green′s function is given. Some results obtained recently are generalized.
Yuji Liu, Weigao Ge
wiley +1 more source
Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition
Advances in Nonlinear Analysis, 2023 In this article, we study a class of nonlinear fractional Laplace problems with a parameter and superlinear nonlinearity (−Δ)su=λu+f(x,u),inΩ,u=0,inRN\Ω.\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{\left(-\Delta )}^{s}u=\lambda u+f\left(x,u ...
Zhao Leiga, Cai Hongrui, Chen Yutong
doaj +1 more source