Sturm theorems for second order linear nonhomogeneous differential equations and localization of zeros of the solution

DOI10.1007/S10474-011-0108-0zbMath1274.34097OpenAlexW2080614813MaRDI QIDQ1945303

Miloje Rajović, Rade Stojiljković, Dragana Radosavljević, Dragan Dimitrovski

Publication date: 5 April 2013

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0108-0

zbMATH Keywords

forced oscillationSturm theoremssecond order nonhomogeneous linear differential equationzeros and location of zeros

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Cites Work

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• Integral criteria for oscillation of third order nonlinear differential equations
• On types, form and supremum of the solutions of the linear differential equation of the second order with entire coefficients
• Oscillatory behaviour of a class of nonlinear differential equations of third order

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