IJPAM: Volume 46, No. 1 (2008)
ON A DIFFERENTIAL SYSTEM WITH
FIRST-ORDER DIFFERENCES
FIRST-ORDER DIFFERENCES
Rodica Luca
Department of Mathematics
``Gh. Asachi" Technical University
11, Carol I Blvd., Iai, 700506, ROMANIA
e-mail: rluca@math.tuiasi.ro
Department of Mathematics
``Gh. Asachi" Technical University
11, Carol I Blvd., Iai, 700506, ROMANIA
e-mail: rluca@math.tuiasi.ro
Abstract.We investigate the existence, uniqueness and asymptotic behaviour of the strong and weak solutions to an infinite differential system with first-order differences and initial data. A characterization of maximal monotone operators on Hilbert spaces, which generalizes Minty's Theorem is also presented.
Received: March 17, 2008
AMS Subject Classification: 34G20, 39A12, 47H05
Key Words and Phrases: differential system, maximal monotone operator, Cauchy problem, strong solution, weak solution, difference equation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 1
