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Volumn 13, Issue 4, 2005, Pages 381-404

Attractors of weakly asymptotically compact set-valued dynamical systems

Author keywords

Attractor; Differential inclusion; Set valued dynamical system; Unbounded domain; Weak asymptotic compactness; Weak attraction

Indexed keywords


EID: 27744494472     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11228-004-0047-9     Document Type: Article
Times cited : (16)

References (35)
  • 1
    • 0346970665 scopus 로고    scopus 로고
    • Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
    • Arrieta, J. M., Cholewa, J., Dlotko, T. and Rodriguez-Bernal, A.: Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains, Nonlinear Anal. 56 (2004), 515-554.
    • (2004) Nonlinear Anal. , vol.56 , pp. 515-554
    • Arrieta, J.M.1    Cholewa, J.2    Dlotko, T.3    Rodriguez-Bernal, A.4
  • 4
    • 0003222693 scopus 로고
    • On the theory of generalized dynamical systems
    • Barbashin, E. A.: On the theory of generalized dynamical systems, Uch. Zap. Moskov. Gos. Univ. 135 (1949), 110-133.
    • (1949) Uch. Zap. Moskov. Gos. Univ. , vol.135 , pp. 110-133
    • Barbashin, E.A.1
  • 5
    • 23844445015 scopus 로고    scopus 로고
    • Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
    • Springer, New York
    • Ball, J. M.: Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations, In: Mechanics: From Theory to Computation, Springer, New York, 2000, pp. 447-474.
    • (2000) Mechanics: From Theory to Computation , pp. 447-474
    • Ball, J.M.1
  • 9
    • 1642581471 scopus 로고    scopus 로고
    • A comparison between two theories for multivalued semiflows and their asymptotic behaviour
    • Caraballo, T., Marín-Rubio, P. and Robinson, J.: A comparison between two theories for multivalued semiflows and their asymptotic behaviour, Set-Valued Anal. 11 (2003), 297-322.
    • (2003) Set-valued Anal. , vol.11 , pp. 297-322
    • Caraballo, T.1    Marín-Rubio, P.2    Robinson, J.3
  • 11
    • 0001852715 scopus 로고
    • Measurable relations
    • Himmelberg, C. J.: Measurable relations, Fund. Math. 87 (1975), 53-72.
    • (1975) Fund. Math. , vol.87 , pp. 53-72
    • Himmelberg, C.J.1
  • 12
    • 0141742767 scopus 로고    scopus 로고
    • Attractors of multivalued semiflows generated by differential inclusions and their approximations
    • Kapustyan, A. V. and Valero, J.: Attractors of multivalued semiflows generated by differential inclusions and their approximations, Abstr. Appl. Anal. 5 (2000), 33-46.
    • (2000) Abstr. Appl. Anal. , vol.5 , pp. 33-46
    • Kapustyan, A.V.1    Valero, J.2
  • 13
    • 0346122674 scopus 로고
    • General control systems without backwards extension
    • E. Roxin, P. Liu and R. Sternberg (eds), Marcel Dekker, New York
    • Kloeden, P. E.: General control systems without backwards extension, In: E. Roxin, P. Liu and R. Sternberg (eds), Differential Games and Control Theory, Marcel Dekker, New York, 1974, pp. 49-58.
    • (1974) Differential Games and Control Theory , pp. 49-58
    • Kloeden, P.E.1
  • 14
    • 0343970454 scopus 로고
    • General control systems
    • W. A. Coppel (ed.), Lecture Notes in Math. 680, Springer, New York
    • Kloeden, P. E.: General control systems, In: W. A. Coppel (ed.), Mathematical Control Theory, Lecture Notes in Math. 680, Springer, New York, 1978, pp. 119-138.
    • (1978) Mathematical Control Theory , pp. 119-138
    • Kloeden, P.E.1
  • 15
    • 0038229615 scopus 로고    scopus 로고
    • Pullback attractors in nonautonomous difference equations
    • Kloeden, P. E.: Pullback attractors in nonautonomous difference equations, J. Difference Eqns. Appl. 6 (2000), 33-52.
    • (2000) J. Difference Eqns. Appl. , vol.6 , pp. 33-52
    • Kloeden, P.E.1
  • 16
    • 0038586510 scopus 로고    scopus 로고
    • Weak pullback attractors in nonautonomous difference inclusions
    • Kloeden, P. E. and Marín-Rubio, P.: Weak pullback attractors in nonautonomous difference inclusions, J. Difference Eqns. Appl. 9 (2003), 489-502.
    • (2003) J. Difference Eqns. Appl. , vol.9 , pp. 489-502
    • Kloeden, P.E.1    Marín-Rubio, P.2
  • 17
    • 0002969389 scopus 로고    scopus 로고
    • On attractors of multivalued semiflows and differential inclusions
    • Melnik, V. S. and Valero, J.: On attractors of multivalued semiflows and differential inclusions, Set-Valued Anal. 6 (1998), 83-111.
    • (1998) Set-valued Anal. , vol.6 , pp. 83-111
    • Melnik, V.S.1    Valero, J.2
  • 18
    • 0031476849 scopus 로고    scopus 로고
    • Evolution inclusions involving a difference term of subdifferentials and applications
    • Papageorgiou, N. S.: Evolution inclusions involving a difference term of subdifferentials and applications, Indian J. Pure Appl. Math. 28 (1997), 575-610.
    • (1997) Indian J. Pure Appl. Math. , vol.28 , pp. 575-610
    • Papageorgiou, N.S.1
  • 19
    • 0342709059 scopus 로고    scopus 로고
    • On the structure of the solution set of evolution inclusions with time-dependent subdifferentials
    • Papageorgiou, N. S. and Papalini, F.: On the structure of the solution set of evolution inclusions with time-dependent subdifferentials, Acta Math. Univ. Comenian. 65 (1996), 33-51.
    • (1996) Acta Math. Univ. Comenian. , vol.65 , pp. 33-51
    • Papageorgiou, N.S.1    Papalini, F.2
  • 20
    • 22044438613 scopus 로고
    • Attracting sets and systems without uniqueness
    • Pilyugin, S. Y.: Attracting sets and systems without uniqueness, Mat. Zametki 42 (1987), 703-711; 763;
    • (1987) Mat. Zametki , vol.42 , pp. 703-711
    • Pilyugin, S.Y.1
  • 21
    • 27744487249 scopus 로고
    • English translation
    • English translation: Math. Notes 42 (1987), 887-891.
    • (1987) Math. Notes , vol.42 , pp. 887-891
  • 22
    • 0037359071 scopus 로고    scopus 로고
    • A remark on reaction-diffusion equations in unbounded domains
    • Prizzi, M.: A remark on reaction-diffusion equations in unbounded domains, Discrete Continuous Dynam. Systems 9 (2004), 281-286.
    • (2004) Discrete Continuous Dynam. Systems , vol.9 , pp. 281-286
    • Prizzi, M.1
  • 24
    • 0001313324 scopus 로고
    • Stability in general control systems
    • Roxin, E. O.: Stability in general control systems, J. Differential Equations 1 (1965), 115-150.
    • (1965) J. Differential Equations , vol.1 , pp. 115-150
    • Roxin, E.O.1
  • 25
    • 0003093697 scopus 로고
    • On generalized dynamical systems defined by contingent equations
    • Roxin, E. O.: On generalized dynamical systems defined by contingent equations, J. Differential Equations 1 (1965), 188-205.
    • (1965) J. Differential Equations , vol.1 , pp. 188-205
    • Roxin, E.O.1
  • 29
    • 14944378994 scopus 로고
    • On solutions of evolution inclusions 2
    • Tolstonogov, A. A. and Umansky, Y. I.: On solutions of evolution inclusions 2, Sibirsk. Mat. Zh. 33(4) (1992), 163-173.
    • (1992) Sibirsk. Mat. Zh. , vol.33 , Issue.4 , pp. 163-173
    • Tolstonogov, A.A.1    Umansky, Y.I.2
  • 30
    • 23044530452 scopus 로고    scopus 로고
    • Finite and infinite-dimensional attractors of multivalued reaction-diffusion equations
    • Valero, J.: Finite and infinite-dimensional attractors of multivalued reaction-diffusion equations, Acta Math. Hungar. 88 (2000), 239-258.
    • (2000) Acta Math. Hungar. , vol.88 , pp. 239-258
    • Valero, J.1
  • 31
    • 0141742766 scopus 로고    scopus 로고
    • Attractors of parabolic equations without uniqueness
    • Valero, J.: Attractors of parabolic equations without uniqueness, J. Dynamics Differential Equations 13 (2001), 711-744.
    • (2001) J. Dynamics Differential Equations , vol.13 , pp. 711-744
    • Valero, J.1
  • 32
    • 0002530874 scopus 로고    scopus 로고
    • Stability like properties of differential inclusions
    • Veliov, V. M.: Stability like properties of differential inclusions, Set-Valued Anal. 5 (1997), 73-88.
    • (1997) Set-valued Anal. , vol.5 , pp. 73-88
    • Veliov, V.M.1
  • 33
    • 0039723135 scopus 로고    scopus 로고
    • Attractors for reaction-diffusion equations in unbounded domains
    • Wang, B.: Attractors for reaction-diffusion equations in unbounded domains, Physica D 128 (1999), 41-52.
    • (1999) Physica D , vol.128 , pp. 41-52
    • Wang, B.1
  • 35
    • 0037256259 scopus 로고    scopus 로고
    • Attractors of reaction-diffusion systems in unbounded domains and their spatial homogenization
    • Zelik, V.: Attractors of reaction-diffusion systems in unbounded domains and their spatial homogenization, Comm. Pure Appl. Math. 56 (2003), 584-637.
    • (2003) Comm. Pure Appl. Math. , vol.56 , pp. 584-637
    • Zelik, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.