Existence criterions for generalized solutions of functional boundary value problems without growth restrictions

Staněk, Svatoslav

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 3, page 305-321
  • ISSN: 0139-9918

How to cite

top

Staněk, Svatoslav. "Existence criterions for generalized solutions of functional boundary value problems without growth restrictions." Mathematica Slovaca 49.3 (1999): 305-321. <http://eudml.org/doc/31531>.

@article{Staněk1999,
author = {Staněk, Svatoslav},
journal = {Mathematica Slovaca},
keywords = {functional boundary conditions; generalized solution; Carathéodory conditions; topological degree; Borsuk theorem; sign conditions},
language = {eng},
number = {3},
pages = {305-321},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Existence criterions for generalized solutions of functional boundary value problems without growth restrictions},
url = {http://eudml.org/doc/31531},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - Existence criterions for generalized solutions of functional boundary value problems without growth restrictions
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 3
SP - 305
EP - 321
LA - eng
KW - functional boundary conditions; generalized solution; Carathéodory conditions; topological degree; Borsuk theorem; sign conditions
UR - http://eudml.org/doc/31531
ER -

References

top
  1. AZBELEV N. V.vMAKSIMOV V. P.-RAKHMATULLINA L. F., Introduction to the Theory of Functional Differential Equations, Nauka, Moscow, 1991. (Russian) (1991) Zbl0725.34071MR1144998
  2. BERNFELD S. R.-LAKSHMIKANTHAM V., An Introduction to Nonlinear Boundary Value Problems, Academic Press, Inc., New York-London, 1974. (1974) Zbl0286.34018MR0445048
  3. DE COSTER C., Pairs of positive solutions for the one-dimensional p-Laplacian, Nonlinear Anal. 23(5) (1994), 669-681. (1994) Zbl0813.34021MR1297285
  4. DEIMLING K., Nonlinear Functional Analysis, Springer-Verlag, Berlin-Heidelberg, 1985. (1985) Zbl0559.47040MR0787404
  5. HALE J. K.-VERDUYN LUNEL S. M., Introduction to Functional Differential Equations, Appl. Math. Sci. 99, Springer-Verlag, New York, Inc., 1993. (1993) MR1243878
  6. HAŠČAK A., On the relationship between the initial and multipoint boundary value problems for n-th order linear differential equations with delays, Arch. Math. (Brno) 26 (1990), 207-214. (1990) MR1188972
  7. KELEVEDJIEV P., Existence of solutions for two-point boundary value problems, Nonlinear Anal. 22 (1994), 217-224. (1994) Zbl0797.34019MR1258957
  8. MAWHIN J., Topological Degree Methods in Nonlinear Boundary Value Problems, CBMS Regional Conf. Ser. in Math. 40, Amer. Math. Soc, Providence, R.I., 1979. (1979) Zbl0414.34025MR0525202
  9. NTOUYAS S. K.-SFICAS Y. G.-TSAMATOS P. CH., An existence principle for boundary value problems for second order functional-differential equations, Nonlinear Anal. 2 (1993), 215-222. (1993) Zbl0774.34052MR1202200
  10. RACHŮNKOVA I.-STANĚK S., Topological degree method in functional boundary value problems, Nonlinear Anal. 27 (153-166). Zbl0856.34075MR1389475
  11. RODRIGUES A.-TINEO A., Existence theorems for the Dirichlet problem without growth restrictions, J. Math. Anal. Appl. 135 (1988), 1-7. (1988) MR0960802
  12. STANĚK S., On some boundary value problems for second order functional differential equations, Nonlinear Anal. 28 (1997), 539-546. (1997) Zbl0873.34053MR1420798

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.