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Volumn 147, Issue 1, 1998, Pages 123-154

Existence and Relaxation Results for Nonlinear Second-Order Multivalued Boundary Value Problems in RN

Author keywords

Maximal monotone map; compact operator; compact embedding; Leary Schauder alternative theorem; continuous selector; extremal solution; relaxation theorem; Aumann's selection theorem

Indexed keywords


EID: 0001216499     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3439     Document Type: Article
Times cited : (27)

References (30)
  • 3
    • 0002110530 scopus 로고
    • Extensions and selections of maps with decomposable values
    • Bressan A., Colombo G. Extensions and selections of maps with decomposable values. Studia Math. 90:1988;69-85.
    • (1988) Studia Math. , vol.90 , pp. 69-85
    • Bressan, A.1    Colombo, G.2
  • 5
    • 84972551028 scopus 로고
    • On continuous approximations for multifunctions
    • DeBlasi F. S., Myjak J. On continuous approximations for multifunctions. Pacific J. Math. 123:1986;9-31.
    • (1986) Pacific J. Math. , vol.123 , pp. 9-31
    • Deblasi, F.S.1    Myjak, J.2
  • 6
    • 0000129533 scopus 로고
    • Nonconvex valued differential inclusions in Banach spaces
    • DeBlasi F. S., Pianigiani G. Nonconvex valued differential inclusions in Banach spaces. J. Math. Anal. Appl. 157:1991;469-494.
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 469-494
    • Deblasi, F.S.1    Pianigiani, G.2
  • 7
    • 0011812031 scopus 로고
    • On the density of extremal solutions of differential inclusions
    • DeBlasi F. S., Pianigiani G. On the density of extremal solutions of differential inclusions. Ann. Polon. Math. 57:1992;133-142.
    • (1992) Ann. Polon. Math. , vol.57 , pp. 133-142
    • Deblasi, F.S.1    Pianigiani, G.2
  • 8
    • 38249003029 scopus 로고
    • Topological properties of nonconvex differential inclusions
    • DeBlasi F. S., Pianigiani G. Topological properties of nonconvex differential inclusions. Nonliner Anal. 20:1983;871-894.
    • (1983) Nonliner Anal. , vol.20 , pp. 871-894
    • Deblasi, F.S.1    Pianigiani, G.2
  • 9
    • 0001549754 scopus 로고
    • Boundary value problems for differential inclusionsyFtyy
    • Erbe L., Krawcewicz W. Boundary value problems for differential inclusionsyFtyy. Ann. Polon Math. 56:1990;195-226.
    • (1990) Ann. Polon Math. , vol.56 , pp. 195-226
    • Erbe, L.1    Krawcewicz, W.2
  • 10
    • 0023433902 scopus 로고
    • Boundary value problems for second-order differential systems
    • Erbe L., Palamides P. Boundary value problems for second-order differential systems. J. Math. Anal. Appl. 127:1987;80-92.
    • (1987) J. Math. Anal. Appl. , vol.127 , pp. 80-92
    • Erbe, L.1    Palamides, P.2
  • 11
    • 0011605117 scopus 로고
    • Theorèmes d'existence pour des inclusions différentielles sans convexes
    • Frigon M., Granas A. Theorèmes d'existence pour des inclusions différentielles sans convexes. C. R. Acad. Sci. Paris. 310:1990;819-822.
    • (1990) C. R. Acad. Sci. Paris , vol.310 , pp. 819-822
    • Frigon, M.1    Granas, A.2
  • 12
    • 0002493021 scopus 로고
    • Nonlinear boundary value problems for some classes of ordinary differential equations
    • Granas A., Guenther R. B., Lee J. W. Nonlinear boundary value problems for some classes of ordinary differential equations. Rocky Mountain J. Math. 10:1980;35-58.
    • (1980) Rocky Mountain J. Math. , vol.10 , pp. 35-58
    • Granas, A.1    Guenther, R.B.2    Lee, J.W.3
  • 13
    • 84968520670 scopus 로고
    • Topological equivalence in the space of integrable vector-valued functions
    • Gutman S. Topological equivalence in the space of integrable vector-valued functions. Proc. Amer. Math. Soc. 93:1985;40-42.
    • (1985) Proc. Amer. Math. Soc. , vol.93 , pp. 40-42
    • Gutman, S.1
  • 15
    • 0001577815 scopus 로고
    • Integrals, conditional expectations and martingales of multivalued functions
    • Hiai F., Umegaki H. Integrals, conditional expectations and martingales of multivalued functions. J. Multivariate Anal. 7:1977;149-182.
    • (1977) J. Multivariate Anal. , vol.7 , pp. 149-182
    • Hiai, F.1    Umegaki, H.2
  • 16
    • 84966251261 scopus 로고
    • Generalizations of Browder's degree theory
    • Hu S., Papageorgiou N. S. Generalizations of Browder's degree theory. Trans. Amer. Math. Soc. 347:1995;233-259.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 233-259
    • Hu, S.1    Papageorgiou, N.S.2
  • 17
    • 0030595776 scopus 로고
    • Existence theorems for nonlinear boundary value problems for second order differential inclusions
    • Kandilakis D., Papageorgiou N. S. Existence theorems for nonlinear boundary value problems for second order differential inclusions. J. Differential Equations. 132:1992;107-125.
    • (1992) J. Differential Equations , vol.132 , pp. 107-125
    • Kandilakis, D.1    Papageorgiou, N.S.2
  • 20
    • 0002565990 scopus 로고
    • On the existence of periodic solutions for second-order vector differential equations
    • Knobloch H. W. On the existence of periodic solutions for second-order vector differential equations. J. Differential Equations. 9:1971;67-85.
    • (1971) J. Differential Equations , vol.9 , pp. 67-85
    • Knobloch, H.W.1
  • 21
    • 84974355914 scopus 로고
    • Nonlinear boundary value problems for systems of differential equations
    • Knobloch H. W., Schmitt K. S. Nonlinear boundary value problems for systems of differential equations. Proc. Royal Soc. Edinburgh. 78:1977;139-159.
    • (1977) Proc. Royal Soc. Edinburgh , vol.78 , pp. 139-159
    • Knobloch, H.W.1    Schmitt, K.S.2
  • 22
    • 0000934320 scopus 로고
    • Boundary value problems for nonconvex differential inclusions
    • Kravvaritis D., Papageorgiou N. S. Boundary value problems for nonconvex differential inclusions. J. Math. Anal. Appl. 185:1994;146-160.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 146-160
    • Kravvaritis, D.1    Papageorgiou, N.S.2
  • 23
    • 0000434161 scopus 로고
    • Convergence theorems for Banach space valued integrable multifunctions
    • Papageorgiou N. S. Convergence theorems for Banach space valued integrable multifunctions. Internat. J. Math. Math. Sci. 10:1987;433-442.
    • (1987) Internat. J. Math. Math. Sci. , vol.10 , pp. 433-442
    • Papageorgiou, N.S.1
  • 24
    • 0001505301 scopus 로고
    • On measurable multifunctions with applications to random multivalued equations
    • Papageorgiou N. S. On measurable multifunctions with applications to random multivalued equations. Math. Japon. 32:1987;437-464.
    • (1987) Math. Japon. , vol.32 , pp. 437-464
    • Papageorgiou, N.S.1
  • 25
    • 0039767871 scopus 로고
    • Measurable multifunctions and their applications to convex integral functionals
    • Papageorgiou N. S. Measurable multifunctions and their applications to convex integral functionals. Internat. J. Math. Sci. 12:1989;175-192.
    • (1989) Internat. J. Math. Sci. , vol.12 , pp. 175-192
    • Papageorgiou, N.S.1
  • 26
    • 0004005785 scopus 로고
    • Some applications of the topological degree theory to multivalued boundary value problems
    • Pruszko T. Some applications of the topological degree theory to multivalued boundary value problems. Dissertationes Math. 229:1984.
    • (1984) Dissertationes Math. , vol.229
    • Pruszko, T.1
  • 27
    • 0000848086 scopus 로고
    • Existence of continuous selectors for multivalued maps and the ban-bang principle for evolution inclusions
    • Tolstonogov A. Existence of continuous selectors for multivalued maps and the ban-bang principle for evolution inclusions. Soviet Math. Doklady. 42:1991;481-485.
    • (1991) Soviet Math. Doklady , vol.42 , pp. 481-485
    • Tolstonogov, A.1
  • 28
    • 0001137927 scopus 로고
    • Survey of measurable selection theorems
    • Wagner D. Survey of measurable selection theorems. SIAM J. Control Optim. 15:1977;859-903.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 859-903
    • Wagner, D.1
  • 29
    • 0002687438 scopus 로고
    • Théorèmes d'existence de solutions d'inclusions différentielles
    • Dordrecht/Norwell: Kluwer Academic. p. 51-87
    • Frigon M. Théorèmes d'existence de solutions d'inclusions différentielles. Topological Methods in Differential Equations and Inclusions. NATO ASI Series. 472:1995;Kluwer Academic, Dordrecht/Norwell. p. 51-87.
    • (1995) Topological Methods in Differential Equations and Inclusions NATO ASI Series , vol.472
    • Frigon, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.