Characteristic exponents of impulsive differential equations in a Banach space

Journal Article · Wed Jun 01 04:00:00 EDT 1988 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00669318· OSTI ID:6309535

Zabreiko, P P; Bainov, D D; Kostadinov, S I

The notion of general exponent of impulsive homogeneous differential equations is defined. A formula for the solution of impulsive nonhomogeneous differential equations is obtained and is used to establish a dependence between the existence of bounded solutions of such equations and the general exponent of the respective homogeneous equation.

• Research Organization: Belorussian State Univ.
• OSTI ID: 6309535
• Journal Information: Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:6; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
BOUNDARY CONDITIONS
CAUCHY PROBLEM
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRAL EQUATIONS
MAPPING
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PERTURBATION THEORY
SPACE
TOPOLOGICAL MAPPING
TRANSFORMATIONS
VOLTERRA INTEGRAL EQUATIONS