On a parabolic type fredholm integrodifferential equation

Numerical Functional Analysis and Optimization

Volumn 30, Issue 1-2, 2009, Pages 136-147

  Pachpatte, B G ^a,b  

^a Near Abhinay Talkies ^*

^b Abhinay Talkies   (India)

Author keywords

Banach fixed point theorem; Boundedness and continuous dependence; Discrete analogue; Existence and uniqueness; Explicit estimate; Fredholm integrodifferential equation; Integral inequality; Parabolic type

Indexed keywords

BANACH FIXED POINT THEOREM; BOUNDEDNESS AND CONTINUOUS DEPENDENCE; DISCRETE ANALOGUE; EXISTENCE AND UNIQUENESS; EXPLICIT ESTIMATE; FREDHOLM INTEGRODIFFERENTIAL EQUATION; INTEGRAL INEQUALITY; PARABOLIC TYPE;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 61449234405     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630560802679265     Document Type: Article

References (12)

1. A. Bielecki (1956). Une remarque sur la méthod de Banach-Cacciopoli-Tikhonov dans la théorie des équations différentilles ordinaries. Bull. Acad. Polon. Sci. Math. Phys. Astr. 4:261-264.
2. C. Corduneanu (1991). Integral Equations and Applications. Cambridge University Press, Cambridge.
3. M.A. Krasnoselskii (1964). Topological Methods in the Theory of Nonlinear Integral Equations. Pergamon Press, Oxford.
4. M. Kwapisz (1990). Some existence and uniqueness results for boundary value problems for difference equations. Applicable Analysis 37:169-182.
5. R.S. Levitin, T.L. Perel'man and I.V. Travniekaja (1973). On a limiting condition of a class of integrodifferential equation with a nonintegrable kernel. Sovit Math. Dokl. 14:170-174.
6. V.P. Mikhailov (1978). Partial Differential Equations. Mir Publishers, Moscow.
7. W. Niedoba (1974). A difference method for a nonlinear integrodifferential equation of the first order. Zesz. Nauk. Uni. Jagiellonskiego, Prace Math. 16:153-159.
8. B.C. Pachpatte (2002). Inequalities for Finite Difference Equations. Marcel Dekker. Inc., New York.
9. B.C. Pachpatte (2006). Integral and Finite Difference Inequalities and Applications. North-Holland Mathematics Studies, Vol. 205. Elsevier Science B.V., Amsterdam.
10. B.C. Pachpatte (1983). On a nonlinear Volterra integral-functional equation. Funcialaj Ekvacioj 26:1-9.
11. B.C. Pachpatte (1986). On mixed Volterra-Fredholm type integral equations. Indian J. Pure Appl. Math. 17:488-496.
12. W. Walter (1970). Differential and Integral Inequalities. Springer-Verlag, Berlin, New York.