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Existence principles for nonlinear resonant operator and integral equations. (English) Zbl 0932.45010

Summary: Features of resonant operator equations are discussed, and existence results presented for nonlinear resonant integral equations.

MSC:

45G10 Other nonlinear integral equations
47J05 Equations involving nonlinear operators (general)
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References:

[1] Corduneanu, C., Integral Equations and Applications (1991), Cambridge Univ. Press: Cambridge Univ. Press New York · Zbl 0714.45002
[2] Guenther, R. B.; Lee, J. W., Partial Differential Equations of Mathematical Physics and Integral Equations (1996), Dover: Dover Mineola, NY
[3] Kreyszig, E., Introductory Functional Analysis with Applications (1978), John Wiley and Sons: John Wiley and Sons New York · Zbl 0368.46014
[4] Meehan, M.; O’Regan, D., Existence principles for nonresonant operator and integral equations, Computers Math. Applic., 35, 9, 79-87 (1998) · Zbl 0999.47053
[5] O’Regan, D., Existence Theory for Nonlinear Ordinary Differential Equations (1997), Kluwer Acad: Kluwer Acad Dordrecht · Zbl 1077.34505
[6] O’Regan, D., Resonant nonlinear singular problems in the limit circle case, Nonlinear Diff. Eqns. and Applications, 3, 55-77 (1996)
[7] Wheeden, R. L.; Zygmund, A., Measure and integral, (Monographs and Textbooks in Pure and Applied Mathematics (1977), Marcel Dekker: Marcel Dekker New York) · Zbl 0362.26004
[8] Porter, D.; Stirling, D. S.G., Integral Equations (1990), Cambridge Univ. Press · Zbl 0908.45001
[9] Young, N., An Introduction to Hilbert Space (1989), Cambridge Univ. Press
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