Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients

Vladimir Kozlov; Vladimir Maz'ya

Journées équations aux dérivées partielles (1992)

  • page 1-12
  • ISSN: 0752-0360

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Kozlov, Vladimir, and Maz'ya, Vladimir. "Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients." Journées équations aux dérivées partielles (1992): 1-12. <http://eudml.org/doc/93257>.

@article{Kozlov1992,
author = {Kozlov, Vladimir, Maz'ya, Vladimir},
journal = {Journées équations aux dérivées partielles},
keywords = {Hilbert spaces; operator pencil; perturbation; differential equation; Fredholm pencil; existence; uniqueness; estimates; asymptotic properties},
language = {eng},
pages = {1-12},
publisher = {Ecole polytechnique},
title = {Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients},
url = {http://eudml.org/doc/93257},
year = {1992},
}

TY - JOUR
AU - Kozlov, Vladimir
AU - Maz'ya, Vladimir
TI - Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients
JO - Journées équations aux dérivées partielles
PY - 1992
PB - Ecole polytechnique
SP - 1
EP - 12
LA - eng
KW - Hilbert spaces; operator pencil; perturbation; differential equation; Fredholm pencil; existence; uniqueness; estimates; asymptotic properties
UR - http://eudml.org/doc/93257
ER -

References

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  1. 1. V.A. Kozlov, V.G. Maz'ya. On the asymptotic behaviour of solutions of ordinary differential equations with operator coefficients I. Linköping University, Sweden, LiTH-MAT-R-91-47, 1991. 
  2. 2. V.A. Kozlov, V.G. Maz'ya. On the asymptotic behaviour of solutions of ordinary differential equations with operator coefficients II. Linköping University, Sweden, LiTH-MAT-R-92-18, 1992. 
  3. 3. M.A. Evgrafov. Structure of solutions of exponential growth for some operator equations, Trudy Mat. Inst. Steklov 60 (1961), 145-180 (Russian). Zbl0117.34502MR25 #252
  4. 4. S. Agmon and L. Nirenberg. Properties of solutions of ordinary differential equations in Banach space, Comm. Pure Appl. Math. 16 (1963), 121-239. Zbl0117.10001MR27 #5142
  5. 5. A. Pazy. Asymptotic expansions of solutions of ordinary differential equations in Hilbert space, Arch. Rational Mech. Anal. 24 (1967), 193-218. Zbl0147.12303MR35 #515
  6. 6. V.G. Maz'ya and B.A. Plamenevskii. On the asymptotic behaviour of solutions of differential equations in Hilbert space, Izv. Akad. Nauk SSSR Ser. Mat. 36 (1972), 1080-1133, Math. USSR Izv. 6 (1972), 1067-1116. Zbl0266.34067
  7. 7. B.A. Plamenevskii. On the existence and asymptotics solutions of differential equations with unbounded operator coefficients in a Banach space, Izv. Akad. Nauk SSSR, Ser. Mat. 36 (1972), No.6; English transl. in Math. USSR Izvetija, 6 (1972), No.6. Zbl0277.34059MR53 #13890

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