The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method

Peter Somora

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 2, page [141]-156
  • ISSN: 0232-0525

How to cite

top

Somora, Peter. "The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method." Mathematica Slovaca 57.2 (2007): [141]-156. <http://eudml.org/doc/34635>.

@article{Somora2007,
author = {Somora, Peter},
journal = {Mathematica Slovaca},
keywords = {boundary value problem; shooting method; root function},
language = {eng},
number = {2},
pages = {[141]-156},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method},
url = {http://eudml.org/doc/34635},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Somora, Peter
TI - The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 2
SP - [141]
EP - 156
LA - eng
KW - boundary value problem; shooting method; root function
UR - http://eudml.org/doc/34635
ER -

References

top
  1. DINCA G.-SANCHEZ L., Multiple solutions of boundary value problems: an elementary approach via the shooting method, Preprint, 1992. (1992) MR1273348
  2. GERA M.-SADYRBAEV F., Multiple solutions of a third order boundary value problem, Math. Slovaca 42 (1992), 173-180 (1992) Zbl0755.34017MR1170101
  3. SADYRBAEV F., Zamechanje o metodach otsenok chisla reshenij kraevykh zadach dlja obyknovennykh differentsialnykh uravnenij, Mat. Zametki 57 (1995), 54-55. (Russian) (1995) MR1362233
  4. BAILEY P. B.-SHAMPINE L. F.-WALTMAN P. E., Nonlinear Two Point Boundary Value Problems, Academic Press Inc, New York and London, 1968. (1968) Zbl0169.10502MR0230967
  5. BERNFELD S. R.-LAKSHMIKANTHAM V., An Introduction to Nonlinear Boundary Value Problems, Academic Press Inc, New York-London, 1974. (1974) Zbl0286.34018MR0445048
  6. FUČÍK S.-KUFNER A., Nonlinear Differential Equations, Elsevier, Amsterdam-Oxford-New York, 1980. (1980) Zbl0426.35001MR0558764
  7. GREGUŠ M.-ŠEDA V.-ŠVEC M., Ordinary differential equations, Alfa, Bratislava, 1985. (Slovak) (1985) 
  8. KAMKE E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, Moskva, 1961. (Russian) (1961) MR0414970
  9. KRASNOSEISKIJ M.A.-PETROV A.I.-POVOLOCKII A.I.-ZABREIKO P.P., Plane Vector Fields, Academic Press, New York, 1966. (1966) MR0206922
  10. SANSONE G., Obyknovennye differentsialnye uravneniya I, Izd. Inostr. Lit., Moskva, 1953. (Russian) (1953) 
  11. SANSONE G., Obyknovennye differentsialnye uravneniya II, Izd. Inosti. Lit , Moskva, 1954. (Russian) (1954) 

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.