Acta mathematica scientia, Series B >
A STUDY ON SOME PROBLEMS ON EXISTENCE OF SOLUTIONS FOR NONLINEAR FUNCTIONAL-INTEGRAL EQUATIONS
Received date: 2011-12-12
Revised date: 2013-03-20
Online published: 2013-09-20
Supported by
The research work of the corresponding author is supported by the Department of Science and Technology, Government of India under INSPIRE Fellowship Program No. DST/INSPIRE Fellowship/2010/[182].
In this paper, we prove the existence of solutions of some nonlinear functional-integral equation by using a fixed point theorem which satisfy the Darbo condition. The results extend the corresponding results of many authors. In the sequel, we give an example of our main result to highlight the realized improvements.
DEEPMALA , H.K. PATHAK . A STUDY ON SOME PROBLEMS ON EXISTENCE OF SOLUTIONS FOR NONLINEAR FUNCTIONAL-INTEGRAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(5) : 1305 -1313 . DOI: 10.1016/S0252-9602(13)60083-1
[1] Banas J, Goebel K. Measures of Noncompactness in Banach Spaces. New York: Marcel Dekker, 1980
[2] Banas J, Lecko M. Fixed points of the product of operators in Banach algebra. Panamer Math J, 2002, 12: 101–109
[3] Banas J, Rzepka B. On existence and asymptotic stability of solutions of a nonlinear integral equation. J Math Anal Appl, 2003, 284: 165–173
[4] Banas J, Sadarangani K. Solutions of some functional integral equations in Banach algebra. Math Comput
Modelling, 2003, 38: 245–250
[5] Chandrasekhar S. Radiative Transfer. London: Oxford Univ Press, 1950
[6] Corduneanu C. Integral Equations and Applications. New York: Cambridge University Press, 1990
[7] Deimling K. Nonlinear Functional Analysis. Springer-Verlag, 1985
[8] Dhage B C. On -condensing mappings in Banah algebras. The Math Student, 1994, 63: 146–152
[9] Hu S, Khavanin M, Zhuang W. Integral equations arising in the kinetic theory of gases. Appl Anal, 1989, 34: 261–266
[10] Kelly C T. Approximation of solutions of some quadratic integral equations in transport theory. J Integral Eq, 1982, 4: 221–237
[11] Maleknejad K, Mollapourasl R, Nouri K. Study on existence of solutions for some nonlinear functional ntegral equations. Nonlinear Analysis, 2008, 69: 2582–2588
[12] Maleknejad K, Nouri K, Mollapourasl R. Existence of solutions for some nonlinear integral equations. Commun Nonlinear Sci Numer Simulat, 2009, 14: 2559–2564
[13] Maleknejad K, Nouri K, Mollapourasl R. Investigation on the existence of solutions for some nonlinear functional-integral equations. Nonlinear Analysis, 2009, 71: 1575–1578
/
| 〈 |
|
〉 |