On boundary value problems for N-th order functional differential equations with impulses

Memoirs on Differential Equations and Mathematical Physics

Volumn 12, Issue , 1997, Pages 50-56

  Domoshnitsky, Alexander ^a   Drakhlin, Michael ^b   Litsyn, Elena ^b,c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b ARIEL UNIVERSITY   (Israel)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Boundary value problem; Functional differential equation; Green operator; Isomorphism

Indexed keywords

EID: 84896283702     PISSN: 15120015     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. A. Domoshnitskiĭ and M. Drakhlin, Nonoscillation of first order impulse differential equations with delay. J. Math. Anal. Appl. 206(1997), 254-269.
2. K. Gopalsamy and B. G. Zhang, On delay differential equations with impulses. J. Math. Anal. Appl. 139(1989), 110-122.
3. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of impulsive differential equations. World Scientific, Singapore, 1989.
4. E. Liz and J. J. Nieto, Periodic boundary value problems for second order impulsive integro-differential equation of Volterra and Fredholm type. Differential Equations Dynam. Systems 1(1993) No. 2, 173-183.
5. X. Liu, Nonlinear boundary problems for first order impulsive integro-differential equations. Appl. Anal. 36(1990), 119-130.
6. N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatulina, Introduction to the theory of differential equations. (Russian) Nauka, Moscow, 1991.
7. V. P. Maksimov, On Cauchy formula for functional differential equations. (Rus-sian) Differentsialnye Uravnenija 13(1977), No. 4, 601-606.
8. S. Gusarenko and A. Domoshnitskiĭ, Asymptotic and oscilatory properties of first order scalar functional differential equations. (Russian) Differentsyalnye Uravnenya 26(1990), No. 6, 1480-1491.
9. N. V. Azbelev and A. Domoshnitskiĭ, A question concerning linear differential inequalities I. (Russian) Differentsialnye Uravnenya 27(1991), No. 3, 376-384.
10. N. V. Azbelev and A. Domoshnitskiĭ, A question concerning linear differential inequalities II. (Russian) Differentsyalnye Uravnenija 27(1991), No. 3, 923-931.