An existence and multiplicity result for a periodic boundary value problem
Mathematica Bohemica, Tome 133 (2008) no. 1, pp. 41-61.
Voir la notice de l'article dans Czech Digital Mathematics Library
A periodic boundary value problem for nonlinear differential equation of the second order is studied. Nagumo condition is not assumed on a part of nonlinearity. Existence and multiplicity results are proved using the method of lower and upper solutions. Results are applied to the generalized Liénard oscillator.
DOI :
10.21136/MB.2008.133946
Classification :
34B15, 34C25
Mots-clés : periodic boundary value problem; multiplicity result; method of lower and upper solutions; Liénard oscillator
Mots-clés : periodic boundary value problem; multiplicity result; method of lower and upper solutions; Liénard oscillator
@article{10_21136_MB_2008_133946, author = {Rudolf, Boris}, title = {An existence and multiplicity result for a periodic boundary value problem}, journal = {Mathematica Bohemica}, pages = {41--61}, publisher = {mathdoc}, volume = {133}, number = {1}, year = {2008}, doi = {10.21136/MB.2008.133946}, mrnumber = {2400150}, zbl = {1199.34065}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.133946/} }
TY - JOUR AU - Rudolf, Boris TI - An existence and multiplicity result for a periodic boundary value problem JO - Mathematica Bohemica PY - 2008 SP - 41 EP - 61 VL - 133 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.133946/ DO - 10.21136/MB.2008.133946 LA - en ID - 10_21136_MB_2008_133946 ER -
%0 Journal Article %A Rudolf, Boris %T An existence and multiplicity result for a periodic boundary value problem %J Mathematica Bohemica %D 2008 %P 41-61 %V 133 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.133946/ %R 10.21136/MB.2008.133946 %G en %F 10_21136_MB_2008_133946
Rudolf, Boris. An existence and multiplicity result for a periodic boundary value problem. Mathematica Bohemica, Tome 133 (2008) no. 1, pp. 41-61. doi : 10.21136/MB.2008.133946. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.133946/
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