Monotone-iterative method of V. Lakshmikantham for a periodic boundary value problem for a class of differential equations with `Supremum'

Nonlinear Analysis, Theory, Methods and Applications

Volumn 44, Issue 5, 2001, Pages 601-612

  Hristova, S G ^a   Roberts, Lila F ^b  

^a UNIVERSITY OF PLOVDIV   (Bulgaria)

^b Georgia S University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FUNCTIONS; ITERATIVE METHODS; THEOREM PROVING;

EXTREMAL SOLUTIONS; IMPULSIVE DIFFERENTIAL EQUATIONS; PERIODIC BOUNDARY VALUE PROBLEMS;

NONLINEAR EQUATIONS;

EID: 0035341908     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00294-1     Document Type: Article

References (7)

1. Angelov V.G., Bainov D.D. On the functional differential equations with "maximums" Appl. Anal. 16:1983;187-194.
2. D.D. Bainov, P. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications, Longman Scientific and Technical, Essex, England, 1993.
3. Hristova S.G., Bainov D.D. Application of the monotone-iterative techniques of V. Lakshmaikantham to the solution of the initial value problem for impulsive differential equations with "supremum" J. Math. Phys. Sci. 25(1):1991;69-80.
4. G.S. Ladde, V. Lakshmikantham, A.S. Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman, Belmont, CA, 1985.
5. Lakshmikantham V., Leela S. Existence and monotone method for periodic solutions of first order differential equations. J. Math. Anal. Appl. 91:1983;237-247.
6. Lakshmikantham V., Leela S. Remarks on first and second order periodic boundary value problems. Nonlinear Anal. 8:1984;281-287.
7. P. Popove, Theory of Nonlinear Systems of Automatic Regulation and Control, Nauka, Moskwa, 1988, (in Russian).