A class of differential equations similar to linear equations

Valter Šeda

Mathematica Slovaca (1980)

  • Volume: 30, Issue: 4, page 433-441
  • ISSN: 0139-9918

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Šeda, Valter. "A class of differential equations similar to linear equations." Mathematica Slovaca 30.4 (1980): 433-441. <http://eudml.org/doc/32046>.

@article{Šeda1980,
author = {Šeda, Valter},
journal = {Mathematica Slovaca},
keywords = {monotonicity; disconjugacy},
language = {eng},
number = {4},
pages = {433-441},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A class of differential equations similar to linear equations},
url = {http://eudml.org/doc/32046},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Šeda, Valter
TI - A class of differential equations similar to linear equations
JO - Mathematica Slovaca
PY - 1980
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 30
IS - 4
SP - 433
EP - 441
LA - eng
KW - monotonicity; disconjugacy
UR - http://eudml.org/doc/32046
ER -

References

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  1. ANICHINI G., SCHUUR J. D., Using a fixed point theoгem to describe the asymptotic behavior of solutions of nonlineaг ordinary diffeгential equations, Equazioni differenziali ordinaгie ed equazioni funzionali. Communicazioni del convegno Equadiff 78. Firenze 1978, 245-256. (1978) 
  2. CODDINGTON E. A., LEVINSON N., Theory of ordinary diffeгential equations, McGraw-Hill Book Co. Inc., New York-Toronto-London, 1955. (1955) MR0069338
  3. COPPEL W. A., Stability and asymptotic behavior of differential equations, D. C. Heath and Co., Boston, 1965. (1965) Zbl0154.09301MR0190463
  4. COPPEL W. A., Disconjugacy, Springeг Verlag, Beгlin-Heidelberg-New York, 1971. (1971) Zbl0224.34003MR0460785
  5. DUNFORD N., SCHWARTZ J. T., BADE W. G., BARTLE R. G., Lineaг operatoгs, Part II, Spectгal theoгy, Selfadjoint operators in Hilbert space, Russian tгanslation, Izdat. Miг, Moskva 1966. (1966) MR0216304
  6. FAN K., Fixed point and minimax theorems in locally convex topological lineaг spaces, Pгoc. Nat. Acad. Sci. U.S. 38, 1952, 121-126. (1952) MR0047317
  7. GLICKSBERG I. L., A furtheг geneгalization of the Kakutani fixed point theoгem, with applications to Nash equilibrium points, Pгoc Ameг. Math. Soc. 3, 1952, 170-174. (1952) MR0046638
  8. HARTMAN P., Oгdinaгy differential equations, Russian tгanslation, Izdat. Miг, Moskva, 1970. (1970) 
  9. HARTMAN P., WINTNER A., Lineaг diffeгential equations with completely monotone solutions, Amer. J. Math. 76, 1954, 199-201. (1954) MR0059423
  10. ПEПИH A. Ю., MЫШKИC A. Д., Oб ycлoвияx oгaничeннocти пpoизвoдныx oгaничeнныx peшeний oбыкнoвeнныx диффepeнциaльныx ypaвнeний, Дифф. ypaв. 1, 1965, 1260-1263. (1965) 
  11. ЛEBИH A. Ю., Heocцилляция peшeний ypaвнeния x ( n ) + p 1 ( t ) x ( n - 1 ) + ⋯ + p n ( t ) x = 0 . , Уcпexи Maт. Hayк, XXIV, 146, 1969, 44-96. (1969) 
  12. KANNAN R., LOCKER J., On a class of nonlinear boundary value pгoblems, J. Differential Equations, 26, 1977, 1-8. (1977) MR0481221

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