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Asymptotic equivalence for linear differential systems

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주제분류수학

초록

We investigate the asymptotic equivalence for linear differential systems by means of the notions of t_∞-similarity and strong stability.

Abstract

We investigate the asymptotic equivalence for linear differential systems by means of the notions of t_∞-similarity and strong stability.

참고문헌 (16)

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  7. 최성규, "Asymptotic equivalence between linear differential systems", 대한수학회보, 42(4), pp.691~701 (2005), 대한수학회
  8. S. K. Choi, "h-stability of differential systems via t1-similarity", Bull. Korean Math. Soc, 34(3), pp.371~383 (1997)
  9. R. Conti, "Sulla t-similitudine tra matrici e la stabilita dei sistemi differenziali lineari", Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat, 19(8), pp.247~250 (1955)
  10. R. Conti, "Linear differential equations asymptotically equivalent to x_ = 0", Riv. Mat. Univ. Parma, 5(4), pp.847~853 (1979)
  11. W. A. Coppel, "Stability and Asymptotic Behavior of Differential Equations" (1965), D. C. Heath and Company
  12. G. A. Hewer, "Stability properties of the equation of rst variation by t1-similarity", J. Math. Anal. Appl, 41, pp.336~344 (1973)
  13. L. A. Lusternik, "Functional Analysis" (1965), Science
  14. G. Sansone, "Non-linear Differential Equatioins" (1964), The Macmillan Company
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  16. W. F. Trench, "Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems, Advances in difference equations, II", Comput. Math. Appl, 36(10), pp.261~267 (1998)

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