Two-point functional boundary value problems without growth restrictions

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1998)

  • Volume: 37, Issue: 1, page 123-142
  • ISSN: 0231-9721

How to cite

top

Staněk, Svatoslav. "Two-point functional boundary value problems without growth restrictions." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 37.1 (1998): 123-142. <http://eudml.org/doc/23658>.

@article{Staněk1998,
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {existence; second-order functional-differential equations},
language = {eng},
number = {1},
pages = {123-142},
publisher = {Palacký University Olomouc},
title = {Two-point functional boundary value problems without growth restrictions},
url = {http://eudml.org/doc/23658},
volume = {37},
year = {1998},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - Two-point functional boundary value problems without growth restrictions
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1998
PB - Palacký University Olomouc
VL - 37
IS - 1
SP - 123
EP - 142
LA - eng
KW - existence; second-order functional-differential equations
UR - http://eudml.org/doc/23658
ER -

References

top
  1. Bernstein S. N., Sur les équations du calcul des variations, Ann. Sci. École Norm. Sup., 29 (1912), 438-448. (1912) 
  2. Bernfeld S. P., Lakshmikantham V., An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York, 1974. (1974) Zbl0286.34018MR0445048
  3. Deimling K., Nonlinear Functional Analysis, Springer-Verlag, Berlin Heidelberg, 1985. (1985) Zbl0559.47040MR0787404
  4. Gelashvili S., Kiguradzel I.T., On Multi-point Boundary Value Problems for Systems of Functional Differential and Difference Equations, Memoirs on Differential Equations and Mathematical Physics, vol. 5, Tbilisi, 1995. (1995) MR1415806
  5. Granas A., Guenther R. B., Lee J. W., Nonlinear boundary value problems for some classes of ordinary differential equations, Rocky Mountain J. Math., 10 (1980), 35-58. (1980) Zbl0476.34017MR0573860
  6. Gaines R. E., Mawhin J. L., Coincidence Degree and Nonlinear Differential Equations, Lectures Notes in Mathematics, No. 568, Springer-Verlag, New York, 1977. (1977) Zbl0339.47031MR0637067
  7. Kelevedjiev P., Existence results for two-point boundary value problems, Nonlin. Anal., 22 (1994), 217-224. (1994) MR1258957
  8. Kiguradze I.T., Boundary Value Problems for Systems of Ordinary Differential Equations, Current Problems in Mathematics. Newest Results, vol. 30, 3-103. Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Moscow 1987 (in Russian). (1987) Zbl0782.34025MR0925829
  9. Lepin A. Ya., Lepin L. A., Boundary Value Problems for Ordinary Second Order Differential Equations, Riga "Zinatne", 1988 (in Russian). (1988) 
  10. Nagumo M., Über die Differentialgleichungen yn = f(x}y,yf), Proc. Phys. Math. Soc. Japan, 19 (1937), 861-866. (1937) 
  11. Rachůnková I., Staněk S., Topological degree method in functional boundary value problems, Nonlin. Anal., 27 (1996), 153-165. (1996) MR1389475
  12. Rachůnková I., Staněk S., Topological degree method in functional boundary value problems at resonance, Nonlin. Anal., 27 (1996), 271-285. (1996) MR1391437
  13. Rodrigies A., Tineo A., Existence theorems for the Dirichlet problem without growth restrictions, J. Math. Anal. Appl., 135 (1988), 1-7. (1988) MR0960802
  14. Staněk S., Functional boundary value problems without growth restrictions, Preprint. MR1739621
  15. Staněk S., Existence results for functional boundary value problems at resonance, Math. Slovaca, (in press). MR1635235
  16. Thompson H. B., Second order ordinary differential equations with fully nonlinear two point boundary conditions, Pacific. J. Math., 172 (1996), 255-277. (1996) Zbl0862.34015MR1379297
  17. Thompson H. B., Second order ordinary differential equations with fully nonlinear two point boundary conditions II, Pacific. J. Math., 172 (1996), 279-297. (1996) Zbl0862.34015MR1379297

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.