Monotone iterative techniques for impulsive retarded differential-functional equations systems

• Autorzy: Skóra L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the monotone iterative method is applied to impulsive retarded functional-differential problem. The problem is also discussed in case we abandon the monotone method and start directly with the equivalent integral equation.

Słowa kluczowe

EN

monotone iterative technique; equations systems

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 101--113
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Skóra L.

• Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• [1] L. Erbe, X. Liu, Monotone iterative methods for differential systems with finite delay, Appl. Math. Comput. 43 (1991), 43-64.
• [2] D. Franco and J. Nieto, First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions, Nonlinear Analysis 42 (2000), 163-173.
• [3] X. Fu, B. Yan, The global solutions of impulsive retarded functional-differential equations, J. Appl. Math. 2 (2000), 289-398.
• [4] S.G. Hristova and L.F. Roberts, Monotone-iterative method of V. Lakshmikantham for a periodic boundary value problem for a class of differential equations with "Supremum", Nonlinear Analysis 44 (2001), 601-612.
• [5] G.S. Ladde, V. Lakshmikantham, A.S. Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman, Belmont, CA 1985, 289-398.
• [6] L. Skóra, Monotone iterative method for differential systems with impulses and antiperiodic boundary condition Ann. Soc. Math. Polon., Series I: Commentationes Math. XLII (2) (2002), 237-249.