Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/19850

Title: Solvabilty of generalized Hammerstein integral equations on unbounded domains, with sign-changing kernels
Authors: Minhós, Feliz
Keywords: Hammerstein equation
Sign-changing kernels
Homoclinic and heteroclinic solutions
Problems in the real line
Issue Date: 2017
Publisher: Elsevier
Citation: . Minhós, Solvabilty of generalized Hammerstein integral equations on unbounded domains, with sign-changing kernels, Applied Mathematics Letters, 65 (2017) 113–117 , 10.1016/j.aml.2016.10.012
Abstract: In this work we study an Hammerstein generalized integral equation u(t)=∫_{-∞}^{+∞}k(t,s) f(s,u(s),u′(s),...,u^{(m)}(s))ds, where k:ℝ²→ℝ is a W^{m,∞}(ℝ²), m∈ℕ, kernel function and f:ℝ^{m+2}→ℝ is a L¹-Carathéodory function. To the best of our knowledge, this paper is the first one to consider discontinuous nonlinearities with derivatives dependence, without monotone or asymptotic assumptions, on the whole real line. Our method is applied to a fourth order nonlinear boundary value problem, which models moderately large deflections of infinite nonlinear beams resting on elastic foundations under localized external loads.
URI: www.elsevier.com/locate/aml
http://hdl.handle.net/10174/19850
ISSN: ISSN: 0893-9659
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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