Solvabilty of generalized Hammerstein integral equations on unbounded domains, with sign-changing kernels
Data(s) |
19/01/2017
19/01/2017
2017
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Resumo |
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. |
Identificador |
. 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 ISSN: 0893-9659 www.elsevier.com/locate/aml http://hdl.handle.net/10174/19850 MAT fminhos@uevora.pt 334 10.1016/j.aml.2016.10.012 |
Idioma(s) |
eng |
Publicador |
Elsevier |
Direitos |
restrictedAccess |
Palavras-Chave | #Hammerstein equation #Sign-changing kernels #Homoclinic and heteroclinic solutions #Problems in the real line |
Tipo |
article |