On the boundedness of solutions of nonlinear second-order differential equations with parameter

Staněk, Svatoslav

Archivum Mathematicum (1991)

  • Volume: 027, Issue: 3-4, page 229-241
  • ISSN: 0044-8753

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Staněk, Svatoslav. "On the boundedness of solutions of nonlinear second-order differential equations with parameter." Archivum Mathematicum 027.3-4 (1991): 229-241. <http://eudml.org/doc/18336>.

@article{Staněk1991,
author = {Staněk, Svatoslav},
journal = {Archivum Mathematicum},
keywords = {bounded solutions; one-parameter family of differential equations; two- point and three-point boundary value problems},
language = {eng},
number = {3-4},
pages = {229-241},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the boundedness of solutions of nonlinear second-order differential equations with parameter},
url = {http://eudml.org/doc/18336},
volume = {027},
year = {1991},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On the boundedness of solutions of nonlinear second-order differential equations with parameter
JO - Archivum Mathematicum
PY - 1991
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 027
IS - 3-4
SP - 229
EP - 241
LA - eng
KW - bounded solutions; one-parameter family of differential equations; two- point and three-point boundary value problems
UR - http://eudml.org/doc/18336
ER -

References

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  1. Bebernes J.W., Jackson L.K, Infinite interval boundary value problems for y ' ' = f ( x , y ) , Duke Math. J., vol 34, 1967, 39-47. (1967) Zbl0145.33102MR0206386
  2. Belova M. M., Bounded solutions of non-linear differential equations of second order, Matematičeskii Sbornik, vol 56, 1962, 469-503. (1962) MR0141824
  3. Corduneanu, C, Citeve probleme globale referitoare la ecuatiile diferentiale nelineare de ordinul al doilea, Studii şi Cercetări Ştiinţifice, Mathematica, vol 7, 1956, Academia Republicii populare Romîne, Filiala Iaşi, 1-7. (1956) 
  4. Corduneanu, C, Existenta solutiilor marginite pentru unele ecuatii diferentiale de ordinul al doilea, Studii şi Cercetări Ştiinţifice, Mathematica, vol 8, 1957, Academia Republicii populare Romîne, Filiala Iaşi, 127-134. (1957) MR0096866
  5. Greguš M., Neuman F., Arscott F.M., Three-point boundary value problems in differential equations, J. London Math. Soc.(2), vol 3, 1971, 429-436. (1971) MR0283282
  6. Kiguradze I.T., Boundary value problems for systems of ordinary differential equations, Current problems in mathematics, Newest results, vol 30, 3-103, 204, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., 1987. (Russian) (1987) Zbl0782.34025MR0925829
  7. Staněk S., Three-point boundary value problem of nonlinear second-order differential equation with parametr, (to appear). MR1179496

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