Meehan, M.; O’Regan, D. Existence principles for nonlinear resonant operator and integral equations. (English) Zbl 0932.45010 Comput. Math. Appl. 36, No. 8, 41-52 (1998). Summary: Features of resonant operator equations are discussed, and existence results presented for nonlinear resonant integral equations. Cited in 62 Documents MSC: 45G10 Other nonlinear integral equations 47J05 Equations involving nonlinear operators (general) Keywords:resonant operator equations; existence; nonlinear resonant integral equations PDF BibTeX XML Cite \textit{M. Meehan} and \textit{D. O'Regan}, Comput. Math. Appl. 36, No. 8, 41--52 (1998; Zbl 0932.45010) Full Text: DOI OpenURL References: [1] Corduneanu, C., Integral equations and applications, (1991), 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 Mineola, NY [3] Kreyszig, E., Introductory functional analysis with applications, (1978), 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 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, () [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.