First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 2, 2000, Pages 163-173

  Franco, Daniel ^a   Nieto, Juan J ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FUNCTIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

ANTIPERIODIC BOUNDARY CONDITIONS; CARATHEODORY FUNCTION; FIRST ORDER IMPULSIVE DIFFERENTIAL EQUATIONS; MONOTONE ITERATIVE TECHNIQUE;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0034299862     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00337-X     Document Type: Article

References (7)

1. G.S. Ladde, V. Lakshmikantham, A.S. Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman, Boston, 1985.
2. V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
3. V. Lakshmikantham, S. Leela, Differential and Integral Inequalities, vol. I, Academic Press, New York, 1968.
4. E. Liz, Existence and approximation of solutions for impulsive first order problems with nonlinear boundary conditions, Nonlinear Anal. 25 (1995) 1191.
5. J.J. Nieto, An abstract monotone iterative technique, Nonlinear Anal. 28 (1997) 1923.
6. Y. Yin, Remarks on first order differential equations with anti-periodic boundary conditions, Nonlinear Times Digest. 2 (1995) 83.
7. Y. Yin, Monotone iterative technique and quasilinearization for some anti-periodic problems, Nonlinear World 3 (1996) 253.