Lower estimates for non-linear Volterra equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 38, Issue 3, 1999, Pages 351-360

  Arias, Mariano R ^a   Castillo, Jesús M F ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

BOYD INDEX; NONLINEAR VOLTERRA EQUATION; OSGOOD-GRIPENBERG CONDITION; WEAKLY HOMOGENEOUS FUNCTIONS;

INTEGRAL EQUATIONS;

EID: 0033212601     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00201-6     Document Type: Article

References (16)

1. M.R. Arias, J.M.F. Castillo, Inverse characterizations of the existence of solutions for some nonlinear Abel-Volterra equations, Nonlinear Anal. TMA 34 (1998) 433-442.
2. S.N. Askhabov, N.K. Karapetyants, A.Y. Yakubov, A nonlinear equation of convolution type. Differentsial'nye Uravneniya 22 (1986) 1606-1609.
3. P. Bushell, On a class of Volterra and Fredholm non-linear integral equations, Math. Proc. Cambridge Philos. Soc. 79 (1976) 329-335.
4. P. Bushell, W. Okrasinski, Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel, Math. Proc. Cambridge Philos. Soc. 106 (1989) 547-552.
5. P. Bushell, W. Okrasinski, Nonlinear Volterra equations with convolution kernel, J. London Math. Soc. 41 (1990) 503-510.
6. J.M.F. Castillo, W. Okrasinski, Boyd index and non-linear Volterra equations, Nonlinear Anal. TMA 20 (1993) 721-732.
7. G. Gripenberg, On the uniqueness of solutions of Volterra equations, J. Integral Eq. Appl. 2 (1990) 421-430.
8. G. Gripenberg, S-O. Londen, O. Staffans, Volterra Integral and Functional Equations, Cambridge Univ. Press, Cambridge, 1990.
9. M. de Guzman, B. Rubio, Integración, Teoría y Técnicas, Editorial Alhambra, Madrid, 1970.
10. J.J. Keller, Propagation of simple non-linear waves in gas filled tubes with friction, Z. Angew. Math. Phys. 32 (1981) 170-181.
11. R.K. Miller, Nonlinear Volterra integral equations, Math. Lecture Notes series, Benjamin, Menlo Park, California, 1971.
12. W. Mydlarczcyk, The existence of non-trivial solutions of Volterra equations, Math. Scand. 68 (1991) 83-88.
13. W. Okrasinski, On a non-linear Volterra equation, Math. Meth. Appl. Sci. 8 (1986) 345-350.
14. W. Okrasinski, Nonlinear Volterra equations and physical applications, Extrada Math. 4 (1989) 51-80.
15. W. Okrasinski, Remarks on non-trivial solutions of a Volterra equation, Math. Meth. Appl. Sci. 13 (1990) 273-279.
16. W. Okrasinski, On approximate solutions to some non-linear diffusion problems, Z. Angew. Math. Phys. 44 (1993) 722-731.