Nonzero solutions of Hammerstein integral equations with discontinuous kernels
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Publication:1849177
DOI10.1016/S0022-247X(02)00125-7zbMath1008.45004OpenAlexW1984473922MaRDI QIDQ1849177
Jeffrey R. L. Webb, Gennaro Infante
Publication date: 28 November 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00125-7
Nonlinear boundary value problems for ordinary differential equations (34B15) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Degree theory for nonlinear operators (47H11) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive solutions of semilinear differential equations with singularities
- A sharper condition for the solvability of a three-point second order boundary value problem
- Three-point boundary value problems with solutions that change sign
- Positive solutions of some three point boundary value problems via fixed point index theory.
- Multiple Positive Solutions of Semilinear Differential Equations with Singularities
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- On an m-point boundary-value problem for second-order ordinary differential equations
- Multiple positive solutions of Hammerstein integral equations with singularities
