Study on existence of solutions for some nonlinear functional-integral equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 69, Issue 8, 2008, Pages 2582-2588

  Maleknejad, K ^a   Mollapourasl, R ^a   Nouri, K ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Banach algebra; Fixed point theorem; Measure of noncompactness; Nonlinear functional integral equations

Indexed keywords

ALGEBRA; BANACH SPACES; FIXED POINT ARITHMETIC; FUNCTIONAL ANALYSIS; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS; TOPOLOGY;

BANACH ALGEBRA; EXISTENCE OF SOLUTIONS; FIXED POINT THEOREMS; FUNCTIONAL EQUATION; FUNCTIONAL INTEGRAL EQUATION; MEASURE OF NONCOMPACTNESS; MEASURES OF NONCOMPACTNESS; NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS;

INTEGRAL EQUATIONS;

EID: 58349111563     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.08.040     Document Type: Article

References (18)

1. K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985.
2. C. Corduneanu, Integral Equations and Applications, Cambridge Univ. Press, New York, 1973.
3. D. O'Regan, Existence theory for nonlinear Volterra integrodifferential and integral equations, Nonlinear Anal. 31 (1998) 317-341.
4. J. Banas, B. Rzepka, On existence and asymptotic stability of solutions of a nonlinear integral equation, J. Math. Anal. Appl. 284 (2003) 165-173.
5. I.K. Argyros, Quadratic equations and applications to Chandrasekhars and related equations, Bull. Austral. Math. Soc. 32 (1985) 275-292.
6. B. Rzepecki, Measure of noncompactness and Krasnosel'skii's fixed point theorem, Bull. Acad. Polon. Sci. Sr. Sci. Math. Astronom. Phys. 24 (1976) 861-865.
7. S. Hu, M. Khavani, W. Zhuang, Integral equations arising in the kinetic theory of gases, Appl. Anal. 34 (1989) 261-266.
8. J. Banas, M. Lecko, W.G. El-Sayed, Existence theorems for some quadratic integral equations, J. Math. Anal. Appl. 222 (1998) 276-285.
9. B. Cahlon, M. Eskin, Existence theorems for an integral equation of the Chandrasekhar H-equation with perturbation, J. Math. Anal. Appl. 83 (1981) 159-171.
10. S. Chandrasekhar, Radiative Thznsfer, Oxford Univ. Press, London, 1950.
11. J. Banas, K. Sadarangani, Solutions of some functional-integral equations in Banach algebra, Math. Comput. Modelling 38 (2003) 245-250.
12. R.P. Agarwal, D. O'Regan, P.J.Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic, Dordrecht, 1999.
13. D. O'Regan, M. Meehan, Existence Theory for Nonlinear Integral and Integrodifferential Equations, Kluwer Academic, Dordrecht, 1998.
14. J. Banas, M. Lecko, Fixed points of the product of operators in Banach algebra, Panamer. Math. J. 12 (2002) 101-109.
15. B.C. Dhage, On α-condensing mappings in Banach algebras, Math. Student 63 (1994) 146-152.
16. P.P. Zabrejko, A.I. Koshelev, M.A. Krasnosel'skii, S.G. Mikhlin, L.S. Rakovshchik, V.J. Stetsenko, Integral Equations, Noordhoff, Leyden, 1975.
17. D. Guo, V. Lakshmikantham, X.Z. Liu, Nonlinear Integral Equations in Abstract Spaces, Kluwer Academic Pub., 1996.
18. J. Banas, K. Goebel, Measures of Noncompactness in Banach Spaces, Marcel Dekker, New York, Basel, 1980.