Other formats:
BibTeX
LaTeX
RIS
@article{1232803, author = {Bartušek, Miroslav and Došlá, Zuzana}, article_location = {Szeged}, article_number = {55}, keywords = {Fourth order nonlinear differential equation; oscillatory solution; oscillation}, language = {eng}, issn = {1417-3875}, journal = {Electronic Journal of Qualitative Theory of Differential Equations}, title = {Oscillatory solutions of nonlinear fourth order differential equations with a middle term}, volume = {2014}, year = {2014} }
TY - JOUR ID - 1232803 AU - Bartušek, Miroslav - Došlá, Zuzana PY - 2014 TI - Oscillatory solutions of nonlinear fourth order differential equations with a middle term JF - Electronic Journal of Qualitative Theory of Differential Equations VL - 2014 IS - 55 SP - 1-9 EP - 1-9 SN - 14173875 KW - Fourth order nonlinear differential equation KW - oscillatory solution KW - oscillation N2 - We study oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator x^{(4)} + x'' and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation. ER -
BARTUŠEK, Miroslav and Zuzana DOŠLÁ. Oscillatory solutions of nonlinear fourth order differential equations with a middle term. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Szeged, 2014, vol.~2014, No~55, p.~1-9. ISSN~1417-3875.
|