Boundary value problems for second order integro-differential equations of Fredholm type

Journal of Computational and Applied Mathematics

Volumn 72, Issue 2, 1996, Pages 215-225

  Liz, E ^b   Nieto, Juan J ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^b NONE

Author keywords

Boundary value problem; Fredholm integral operator; Integro differential equation

Indexed keywords

DIFFERENTIAL EQUATIONS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS;

FREDHOLM INTEGRAL OPERATOR;

BOUNDARY VALUE PROBLEMS;

EID: 0030215683     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00273-1     Document Type: Article

References (7)

1. T.A. Burton, P.W. Eloe and N.M. Islam, Nonlinear integro-differential equations and a priori bounds on periodic solutions, Ann. Math Pura. Appl Ser. IV 161 (1992) 271-283.
2. Y. Chen and W. Zhuang, On monotone iterative method for periodic boundary value problems of nonlinear integro-differential equations, Nonlinear Anal. 22 (1994) 295-303.
3. L.H. Erbe and D. Guo, Periodic boundary value problems for second order integro-differential equations of mixed type, Appl. Anal. 21 (1992) 249-258.
4. S. Hu and V. Lakshmikantham, Periodic boundary value problems for integro-differential equations of Volterra type, Nonlinear Anal. 10 (1986) 1203-1208.
5. G.S. Ladde, V. Lakshmikantham and A.S. Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations (Pitman, Boston, 1985).
6. E. Liz and J.J. Nieto, Periodic boundary value problem for integro-differential equations with general kernel, Dynam. Syst. Appl. 3 (1994) 297-304.
7. J.J. Nieto, Periodic boundary value problems for second order integro-ordinary differential equation with general kernel and Carathéodory non-linearities, Internat. J. Math. Math. Sci. 18 (1995) 757-764.