Nonzero solutions of Hammerstein integral equations with discontinuous kernels

By Gennaro Infante, J. R. L. Webb. 2002

83 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/6d202e26b68b7abdfae9697e81cc17021b87c698

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Gennaro Infante
2. J. R. L. Webb
3. Paolamaria Pietramala
4. Kunquan Lan
5. Christopher S. Goodrich
6. Arturas Stikonas
7. Lishan Liu
8. Yonghong Wu

In Computational Theory and Mathematics

1. J. R. L. Webb
2. Gennaro Infante
3. Kunquan Lan
4. Paolamaria Pietramala
5. Arturas Stikonas
6. Bryan P. Rynne
7. Christopher S. Goodrich
8. Lishan Liu

In Modeling and Simulation

1. Gennaro Infante
2. J. R. L. Webb

Citations in the corpus

• Loss of positivity in a nonlinear scalar heat equation (2006, methodology): “We make use of our results on existence of nonzero solutions for some other three-point BVPs [ 5 ], which treat integral equations with sign changing kernels.”
• Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type (2006, background): “Note that (C1) allows some discontinuity in the kernel which occurs, for example, in the study of the nonlocal BVP −u′′ = f(t, u) u(0) = 0, u(1) = αu′(η) studied in [9].”
• NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS (2006, methodology): “This reduces to a result in [7] when α[u] = 0.”