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Volumn 319, Issue 1, 2006, Pages 74-93

Measure solutions for impulsive evolution equations with measurable vector fields

Author keywords

Discontinuous vector fields; Finitely additive measures; Measure solutions; Semigroups of operators; Semilinear equations

Indexed keywords


EID: 33645538680     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.02.009     Document Type: Article
Times cited : (22)

References (14)
  • 1
    • 0003258876 scopus 로고
    • Semigroup Theory with Applications to Systems and Control
    • London, New York: Longman Scientific and Technical and John Wiley
    • N.U. Ahmed Semigroup Theory with Applications to Systems and Control Pitman Res. Notes Math. Ser. vol. 246 1991 Longman Scientific and Technical and John Wiley London, New York
    • (1991) Pitman Res. Notes Math. Ser. , vol.246
    • Ahmed, N.U.1
  • 2
    • 0035423343 scopus 로고    scopus 로고
    • Measure solutions impulsive evolutions differential inclusions and optimal control
    • N.U. Ahmed Measure solutions impulsive evolutions differential inclusions and optimal control Nonlinear Anal. 47 2001 13-23
    • (2001) Nonlinear Anal. , vol.47 , pp. 13-23
    • Ahmed, N.U.1
  • 3
    • 0033078721 scopus 로고    scopus 로고
    • Measure solutions for semilinear systems with unbounded nonlinearities
    • N.U. Ahmed Measure solutions for semilinear systems with unbounded nonlinearities Nonlinear Anal. 35 1999 487-503
    • (1999) Nonlinear Anal. , vol.35 , pp. 487-503
    • Ahmed, N.U.1
  • 4
    • 0002829753 scopus 로고    scopus 로고
    • Measure solutions for semilinear evolution equations with polynomial growth and their optimal controls
    • N.U. Ahmed Measure solutions for semilinear evolution equations with polynomial growth and their optimal controls Discuss. Math. Differ. Incl. Control. Optim. 17 1997 5-27
    • (1997) Discuss. Math. Differ. Incl. Control. Optim. , vol.17 , pp. 5-27
    • Ahmed, N.U.1
  • 5
    • 0031190392 scopus 로고    scopus 로고
    • A remark on existence of solutions of infinite dimensional noncompact optimal control problems
    • H.O. Fattorini A remark on existence of solutions of infinite dimensional noncompact optimal control problems SIAM J. Control Optim. 35 4 1997 1422-1433
    • (1997) SIAM J. Control Optim. , vol.35 , Issue.4 , pp. 1422-1433
    • Fattorini, H.O.1
  • 6
    • 0342520749 scopus 로고    scopus 로고
    • A general result on measure solutions for semilinear evolution equations
    • N.U. Ahmed A general result on measure solutions for semilinear evolution equations Nonlinear Anal. 42 2000 1335-1349
    • (2000) Nonlinear Anal. , vol.42 , pp. 1335-1349
    • Ahmed, N.U.1
  • 8
    • 0003087399 scopus 로고
    • Vector Measures
    • Providence, RI: Amer. Math. Soc
    • J. Diestel J.J. Uhl Jr. Vector Measures Math. Surveys vol. 15 1977 Amer. Math. Soc. Providence, RI
    • (1977) Math. Surveys , vol.15
    • Diestel, J.1    Uhl Jr., J.J.2
  • 9
    • 4544275484 scopus 로고    scopus 로고
    • Stone-Cech compactification with applications to evolution equations on Banach spaces
    • N.U. Ahmed Stone-Cech compactification with applications to evolution equations on Banach spaces Publ. Math. Debrecen 59 3-4 2001 289-301
    • (2001) Publ. Math. Debrecen , vol.59 , Issue.3-4 , pp. 289-301
    • Ahmed, N.U.1
  • 10
    • 0003730815 scopus 로고
    • Topics in the Theory of Lifting
    • Berlin: Springer-Verlag
    • A. Ionescu Tulcea C. Ionescu Tulcea Topics in the Theory of Lifting 1969 Springer-Verlag Berlin
    • (1969)
    • Ionescu Tulcea, A.1    Ionescu Tulcea, C.2
  • 11
    • 28044443738 scopus 로고    scopus 로고
    • Measure solutions for evolution equations with discontinuous vector fields
    • N.U. Ahmed Measure solutions for evolution equations with discontinuous vector fields Nonlinear Funct. Anal. Appl. 9 3 2004 467-484
    • (2004) Nonlinear Funct. Anal. Appl. , vol.9 , Issue.3 , pp. 467-484
    • Ahmed, N.U.1
  • 12
    • 1842598917 scopus 로고
    • Peano's theorem in an infinite dimensional Hilbert space is false even in a weakened formulation
    • A.N. Godunov Peano's theorem in an infinite dimensional Hilbert space is false even in a weakened formulation Mat. Zametki 15 3 1974 467-477
    • (1974) Mat. Zametki , vol.15 , Issue.3 , pp. 467-477
    • Godunov, A.N.1
  • 14
    • 33645539611 scopus 로고
    • Measure-valued solutions to a problem in dynamic phase transition
    • Nonstrictly Hyperbolic Conservation Laws, Proc. of an AMS Special Session (Jan. 9-10) Amer. Math. Soc
    • M. Slemrod V. Roytburd Measure-valued solutions to a problem in dynamic phase transition Nonstrictly Hyperbolic Conservation Laws, Proc. of an AMS Special Session (Jan. 9-10) Contemp. Math. vol. 60 1985 Amer. Math. Soc.
    • (1985) Contemp. Math. , vol.60
    • Slemrod, M.1    Roytburd, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.