Nonconvolution nonlinear integral volterra equations with monotone operators

Computers and Mathematics with Applications

Volumn 50, Issue 8-9, 2005, Pages 1405-1414

  Arias, M R ^a   Benitez R ^a   Bolos V J ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONVOLUTION; NONLINEAR EQUATIONS;

CONVOLUTION KERNELS; NONCONVOLUTION NONLINEAR INTEGRAL VOLTERRA EQUATIONS;

INTEGRAL EQUATIONS;

EID: 28844485559     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.03.019     Document Type: Article

References (14)

1. M.R. Arias Existence and uniqueness of solutions for nonlinear Volterra equations Math. Proc. Camb. Phil. Soc. 129 2000 361 370
2. M.R. Arias, and J.M.F. Castillo Inverse characterization of the existence of solutions for some nonlinear Abel-Volterra equations Nonlinear Anal. T.M.A. 34 1998 433 442
3. P.J. Bushell, and W. Okrasinski Nonlinear Volterra integral equations with convolution kernel J. London Math. Soc. 2 1990 503 510
4. G. Gripenberg Unique solutions of some Volterra integral equations Math. Scan. 48 1981 59 67
5. W. Mydlarczyk The existence of nontrivial solutions of Volterra equations Math. Scand. 68 1991 83 88
6. E. Zeidler Nonlinear Functional Analysis and its Applications. Volume I: Fixed Point Theorems 1990 Springer-Verlag
7. Winter M.R. Arias, and R. Benitez A note of the uniqueness and the attractive behaviour of solutions for nonlinear Volterra equations J. Integral Equations App. 13 4 2001 305 310
8. Fall M.R. Arias, and J.M.F. Castillo Attracting solutions of nonlinear Volterra integral equations J. Integral Equations App. 11 1999 299 308
9. R. Szwarc Attraction principle for nonlinear integral operators of the Volterra type J. Math. Anal. Appl. 170 1992 449 456
10. M.R. Arias, and R. Benitez Aspects of the behaviour of solutions for nonlinear Abel equations Nonlinear Anal. T.M.A. 54 2003 1241 1249
11. W. Mydlarczyk The blow-up solutions of integral equations Colloquium Mathematicum 79 1 1999 147 156
12. S.N. Askhabov Integral equations of convolution type with power nonlinearity Colloquium Mathematicum 62 1 1991 49 65
13. Winter N.K. Karapetyants, A.A. Kilbas, M. Saigo, and S.G. Samko Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity J. Integral Equations App. 12 4 2000 421 448
14. th International Conference on Dynamical Systems and Differential Equations, p. 42-47.