IJPAM: Volume 40, No. 3 (2007)
EXISTENCE AND UNIQUENESS RESULTS FOR
A CLASS OF NONLINEAR DIFFERENTIAL SYSTEMS
A CLASS OF NONLINEAR DIFFERENTIAL SYSTEMS
Rodica Luca
Department of Mathematics
``Gh. Asachi" Technical University
11 Bd. Carol I, Iai, 700506, ROMANIA
e-mail: [email protected]
Department of Mathematics
``Gh. Asachi" Technical University
11 Bd. Carol I, Iai, 700506, ROMANIA
e-mail: [email protected]
Abstract.We study the existence and uniqueness of the strong and weak solutions to a nonlinear differential system with second-order differences, subject to some extreme conditions and initial data.
Received: August 20, 2007
AMS Subject Classification: 34G20, 35L55, 47H05, 39A12
Key Words and Phrases: differential system, extreme conditions, maximal monotone operator, Cauchy problem, strong solution, weak solution
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 40
Issue: 3
