Solvabilty of generalized Hammerstein integral equations on unbounded domains, with sign-changing kernels
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 discont...
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| Format: | article |
| Language: | eng |
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2017
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| Online Access: | http://hdl.handle.net/10174/19850 |
| Country: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/19850 |