Remarks on first order impulsive ordinary differential equations with anti-periodic boundary conditions

• Autorzy: Skóra L.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the anti-periodic boundary value problem for impulsive ordinary differential equations. The impulsive differential inequalities generated by this problem are considered and a uniqueness criterion is obtained.

Słowa kluczowe

EN

impulsive ordinary differential equations; coupled lower and upper solutions; uniqueness criterion

PL

równanie różniczkowe zwyczajne

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 36
• Strony: 103--108
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Skóra L.

• Institute of Mathematice, Cracow University of Technology Warszawska 24, 31-155 Cracov, Poland,

Bibliografia

• [1] Bainov D., Kamont Z., Minchev E., Periodic solutions of impulsive hyperbolic equations of first order, Italian Journal of Pure and Applied Mathematics, 1(1997), 115-127.
• [2] Byszewski L., A system of impulsive degenerate nonlinear parabolic functional-differential inequalities, J. Appl. Math. Stochastic Anal., 8.1(1994), 59-68.
• [3] Byszewski L., A system of impulsive nonlinear parabolic functional-differential inequalities in arbitrary domains, Ann. Soc. Math. Polon., Series I: Commentationes Math., 35(1995), 83-95.
• [4] Lakshmikantham v., Bainov D., Simeonov p.S., Theory of impulsive differential equations, Singapore: World Scientific, 1989.
• [5] Franco D., Nieto J., First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions. Nonlinear Analysis, 42(2000), 163-173.
• [6] Franco D., Nieto J., Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions. Applied Mathematics and Computation, (to appear).
• [7] Franco D., Liz E., Nieto J., Rogovchenko Y., A contribution to the study of functional differential equations with impulses. Math. Nachr., 218(2000), 49-60.
• [8] Skóra L., Monotone iterative method for differential systems with impulses and anti-periodic boundary condition, Ann.Soc.Math.Polon., Series I:Commentationes Math. XLII, 2(2002), 237-249 .
• [9] Skóra L., Monotone iterative technique for impulsive retarded differential-functional equations, Demonstratio Mathematica XXXVII, 1(2004), 101-113.