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Volumn 245, Issue , 1996, Pages 259-293

Classical and generalized solutions of time-dependent linear differential-algebraic equations

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EID: 0030518661     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(94)00243-6     Document Type: Article
Times cited : (36)

References (20)
  • 1
    • 0000725830 scopus 로고
    • A general form for solvable linear time varying singular systems of differential equations
    • S. L. Campbell, A general form for solvable linear time varying singular systems of differential equations, SIAM J. Math. Anal. 18:1101-1115 (1987).
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 1101-1115
    • Campbell, S.L.1
  • 2
    • 0000052050 scopus 로고
    • On the solutions of linear differential equations with singular coefficients
    • D. Cobb, On the solutions of linear differential equations with singular coefficients, J. Differential Equations 46:311-323 (1982).
    • (1982) J. Differential Equations , vol.46 , pp. 311-323
    • Cobb, D.1
  • 3
    • 0001385740 scopus 로고
    • Canonical forms and solvable singular systems of differential equations
    • S. L. Campbell and L. R. Petzold, Canonical forms and solvable singular systems of differential equations, SIAM J. Algebraic Discrete Methods 4:517-521 (1983).
    • (1983) SIAM J. Algebraic Discrete Methods , vol.4 , pp. 517-521
    • Campbell, S.L.1    Petzold, L.R.2
  • 4
    • 0041819052 scopus 로고
    • r which depends on a parameter
    • r which depends on a parameter, Čas. Pro. Pešt. Mat. 89:466-468 (1964).
    • (1964) Čas. Pro. Pešt. Mat. , vol.89 , pp. 466-468
    • Dolezal, V.1
  • 6
    • 0004131235 scopus 로고
    • translated from the Russian, Chelsea, New York
    • F. R. Gantmacher, The Theory of Matrices, Vols. 1, 2, translated from the Russian, Chelsea, New York, 1959.
    • (1959) The Theory of Matrices , vol.1-2
    • Gantmacher, F.R.1
  • 7
    • 0042178923 scopus 로고
    • Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case
    • T. Geerts, Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case. Linear Algebra Appl. 181:111-130 (1993).
    • (1993) Linear Algebra Appl. , vol.181 , pp. 111-130
    • Geerts, T.1
  • 10
    • 0000321758 scopus 로고
    • On the adiabatic theorem of quantum mechanics
    • T. Kato, On the adiabatic theorem of quantum mechanics, J. Phys. Soc. Japan 5:435-439 (1950).
    • (1950) J. Phys. Soc. Japan , vol.5 , pp. 435-439
    • Kato, T.1
  • 13
    • 0000889510 scopus 로고
    • Index 2 differential-algebraic equations
    • R. Maerz, Index 2 differential-algebraic equations, Results Math. 15:149-171 (1989).
    • (1989) Results Math. , vol.15 , pp. 149-171
    • Maerz, R.1
  • 14
    • 38249021708 scopus 로고
    • Some new results concerning index-3 differential-algebraic equations
    • R. Maerz, Some new results concerning index-3 differential-algebraic equations, J. Math. Anal. Appl 140:177-199 (1989).
    • (1989) J. Math. Anal. Appl , vol.140 , pp. 177-199
    • Maerz, R.1
  • 15
    • 84972545522 scopus 로고
    • A general existence and uniqueness theory for implicit differential-algebraic equations
    • P. J. Rabier and W. C. Rheinboldt, A general existence and uniqueness theory for implicit differential-algebraic equations, Differential Integral Equations 4:563-582 (1991).
    • (1991) Differential Integral Equations , vol.4 , pp. 563-582
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 16
    • 0000877389 scopus 로고
    • A geometric treatment of implicit differential-algebraic equations
    • P. J. Rabier and W. C. Rheinboldt, A geometric treatment of implicit differential-algebraic equations, J. Differential Equations 190:110-146 (1994).
    • (1994) J. Differential Equations , vol.190 , pp. 110-146
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 17
    • 38149144235 scopus 로고
    • Finite differences for time dependent linear DAE's
    • P. J. Rabier and W. C. Rheinboldt, Finite differences for time dependent linear DAE's, Appl. Math. Lett. 7:29-34 (1994).
    • (1994) Appl. Math. Lett. , vol.7 , pp. 29-34
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 19
    • 0039689764 scopus 로고
    • Generalizations of a theorem of Dolezal
    • L. M. Silverman and R. S. Bucy, Generalizations of a theorem of Dolezal, Math. Systems Theory 4:334-339 (1970).
    • (1970) Math. Systems Theory , vol.4 , pp. 334-339
    • Silverman, L.M.1    Bucy, R.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.