Positive solutions to a nonlinear Abel-type integral equation on the whole line

Computers and Mathematics with Applications

Volumn 41, Issue 7-8, 2001, Pages 835-842

  Mydlarczyk, W ^a   Okrasinski W ^b  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF ZIELONA GÓRA   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS;

NONLINEAR VOLTERRA INTEGRAL EQUATIONS; NONTRIVIAL CONTINUOUS SOLUTIONS; TRIVIAL SOLUTIONS;

INTEGRAL EQUATIONS;

EID: 17144466713     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00323-0     Document Type: Article

References (8)

1. Dickmann O., Kaper H.G. On the bounded solutions of a nonlinear convolution equation. Nonlinear Anal. TMA. 6:1978;721-737.
2. Agarwal R.P., O'Regan D., Wong P.J.Y. Positive Solutions of Differential, Difference and Integral Equations. 1999;Kluwer, Dordrecht.
3. W. Mydlarczyk, A nonlinear Abel integral equation on the whole line, Nonlinear Anal. TMA (to appear).
4. Gripenberg G. Unique solutions of some Volterra integral equations. Math. Scand. 48:1981;59-67.
5. Gripenberg G. On the uniqueness of solutions of Volterra equations. J. Integral Eq. Appl. 3:1990;421-400.
6. Mydlarczyk W. The existence of nontrivial solutions of Volterra equations. Math. Scand. 68:1991;83-88.
7. Okrasiński W. Remarks on nontrivial solutions of a Volterra integral equation. Math. Meth. Appl. Sci. 13:1990;273-275.
8. Mydlarczyk W. A condition for finite blow-up time for a Volterra equation. J. Math. Anal. Appl. 181:1994;248-253.