Existence and asymptotic behavior for a class of second order difference equations

Journal of Difference Equations and Applications

Volumn 9, Issue 9, 2003, Pages 751-763

  Apreutesei, N C ^a  

^a GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

Compact operator; Maximal monotone operator; Strong convergence and weak convergence of the solution; Strongly monotone operator; Subdifferential mapping

Indexed keywords

EID: 0042071279     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619021000040498     Document Type: Article

References (14)

1. A. R. Aftabizadeh and N. H. Pavel, Boundary value problems for second order differential equations and a convex problem of Bolza, Diff. Integral Eqns., 2 (1989), 495-509.
2. A. R. Aftabizadeh and N. H. Pavel, Nonlinear boundary value problems for some ordinary and partial differential equations associated with monotone operators, J. Math. Anal. Appl., 156 (1991), 535-557.
3. N. C. Apreutesei, Second-order differential equations on half-line associated with monotone operators, J. Math. Anal. Appl., 223 (1998), 472-493.
4. N. C. Apreutesei, On a class of second order evolution equations in Hilbert spaces, Anal. Stiint. Univ. Iasi, Sect. I Math., 44 (1998), 455-470.
5. V. Barbu, Sur un probleme aux limites pour une classe d'equations differentielles nonlineaires abstraites du deuxieme ordre en t, C.R. Acad. Sci. Paris, 274 (1972), 459-462.
6. V. Barbu, A class of boundary problems for second order abstract differential equations, J. Fac. Sci. Univ. Tokyo, Sect 1, 19 (1972), 295-319.
7. V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff, Leyden, 1976.
8. H. Brezis, Equations d'evolution du second ordre associees a des operateurs monotones, Isr. J. Math., 12 (1972), 51-60.
9. H. Brezis, Operateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, North-Holland, Amsterdam, 1973.
10. E. Mitidieri and G. Morosanu, Asymptotic behaviour of the solutions of second order difference equations associated to monotone operators, Numerical Funct. Anal. Optim., 8 (1986-1987), 419-434.
11. G. Morosanu, Second order difference equations of monotone type, Numerical Funct. Anal. Optim., 1 (1979), 441-450.
12. G. Morosanu, Nonlinear Evolution Equations and Applications, Editura Academiei Romane (and D. Reidel Publishing Company), Bucuresti, 1988.
13. L. Veron, Problemes d'evolution du second ordre associes a des operateurs monotones, C.R. Acad. Sci. Paris, 278 (1974), 1099-1101.
14. L. Veron, Equations non-lineaires avec conditions aux limites du type Sturm-Liouville, Anal. Stiint. Univ. Iasi, Sect. 1 Math., 24 (1978), 277-287.