Existence theory for nonlinear Volterra integrodifferential and integral equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 31, Issue 3-4, 1998, Pages 317-341

  Meehan, Maria ^a   O'Regan, Donal ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Abstract volterra equations; Existence; Integral and integrodifferential equations

Indexed keywords

INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; THEOREM PROVING;

EXISTENCE PRINCIPLES; SCHAUDER-TYCHONOFF THEOREM;

NONLINEAR EQUATIONS;

EID: 0031992369     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00313-6     Document Type: Article

References (7)

1. Lee, J. W. and O'Regan, D., Existence principles for nonlinear integral equations on semiinfinite and half-open intervals. Advances in Nonlinear Dynamics. Gordon & Breach. (To appear.)
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3. Nohel, J. A. and Shea, D. F., Frequency domain methods for Volterra equations. Adv. Math., 1976, 22, 278-304.
4. Brezis, H. and Browder, F. E., Existence theorems for nonlinear integral equations of Hammerstein type. Bull. Amer. Math. Soc., 1975, 81, 73-78.
5. O'Regan, D., Existence theory for nonlinear Volterra and Hammerstein integral equations. Dynamic Systems and Applications, ed. R. P. Agarwal, Vol. 4. World Scientific Series in Applicable Analysis, River Edge, New Jersey, 1995, pp. 601-615.
6. O'Regan, D., Existence results for nonlinear integral equations. J. Math. Anal. Appl., 1995, 192, 705-726.
7. Pachpatte, B. G., Applications of the Leray-Schauder alternative to some Volterra integral and integrodifferential equations. Indian J. Pure Appl. Math., 1995, 26, 1161-1168.