Existence and equivalence with an optimization problem for some difference inclusions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 57, Issue 5-6, 2004, Pages 795-813

  Apreutesei, N C ^a  

^a GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

Maximal monotone operator; Resolvent; Strongly monotone operator; Subdifferential mapping; Yosida approximation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; OPTIMIZATION; THEOREM PROVING;

MAXIMAL MONOTONE OPERATOR; MONOTONE OPERATOR; RESOLVENT; YOSIDA APPROXIMATION;

PROBLEM SOLVING;

EID: 2542436707     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.03.018     Document Type: Article

References (19)

1. Aftabizadeh A.R., Pavel N.H. Boundary value problems for second order differential equations and a convex problem of Bolza. Differential Integral Equations. 2:1989;495-509.
2. Aftabizadeh A.R., Pavel N.H. Nonlinear boundary value problems for some ordinary and partial differential equations associated with monotone operators. J. Math. Anal. Appl. 156:1991;535-557.
3. Apreutesei N.C. Second order differential equations on half-line associated with monotone operators. J. Math. Anal. Appl. 223:1998;472-493.
4. Apreutesei N.C. Existence and asymptotic behavior for a class of second order difference equations. J. Difference Equations Appl. 9:2003;751-763.
5. N.C. Apreutesei, Some second order difference equations in Hilbert spaces, Comm. Appl. Anal., to appear.
6. Barbu V. Sur un problème aux limites pour une classe d'équations différentielles nonlinéaires abstraites du deuxième ordre en t. C.R. Acad. Sci. Paris. 274:1972;459-462.
7. Barbu V. A class of boundary problems for second order abstract differential equations. J. Fac. Sci. Univ. Tokyo Sec. 1. 19:1972;295-319.
8. Barbu V. Nonlinear Semigroups and Differential Equations in Banach Spaces. 1976;Noordhoff, Leyden.
9. Bona J.L., Li J. Stabilizing monetary injection policies. J. Econ. Theory. 98:2001;127-157.
10. Brézis H. Équations d'évolution du second ordre associées à des opérateurs monotones. Israel J. Math. 12:1972;51-60.
11. Bruck R.E. Periodic forcing of solutions of a boundary value problem for a second order differential equation in Hilbert space. J. Math. Anal. Appl. 76:1980;159-173.
12. Mitidieri E., Morosanu G. Asymptotic behaviour of the solutions of second order difference equations associated to monotone operators. Numer. Funct. Anal. Optim. 8:1986-1987;419-434.
13. Morosanu G. Second order difference equations of monotone type. Numer. Funct. Anal. Optim. 1:1979;441-450.
14. E. Poffald, S. Reich, A quasi-autonomous second-order differential inclusion, in: Non-Linear Analysis, North-Holland, Amsterdam, 1985, pp. 387-392.
15. Poffald E., Reich S. An incomplete Cauchy problem. J. Math. Anal. Appl. 113:1986;514-543.
16. E. Poffald, S. Reich, A difference inclusion, in: Nonlinear Semigroups, Partial Differential Equations and Attractors, Lecture Notes in Mathematics, Vol. 1394, Springer, Berlin, 1989, pp. 122-130.
17. Reich S., Shafrir I. An existence theorem for a difference inclusion in general Banach spaces. J. Math. Anal. Appl. 160:1991;406-412.
18. Véron L. Problèmes d'évolution du second ordre associés à des opérateurs monotones. C. R. Acad. Sci. Paris. 278:1974;1099-1101.
19. Véron L. Équations non-linéaires avec conditions aux limites du type Sturm-Liouville. Anal. Stiint. Univ. Iasi Sec. 1 Math. 24:1978;277-287.