Oscillations of a Class of Forced Second-Order Differential Equations with Possible Discontinuous Coefficients | Zendy

Siniša Miličić | Zendy; Mervan Pašić | Zendy; Darko Žubrinić | Zendy

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Oscillations of a Class of Forced Second-Order Differential Equations with Possible Discontinuous Coefficients

Author(s) -

Siniša Miličić,

Mervan Pašić,

Darko Žubrinić

Publication year - 2013

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2013/297085

Subject(s) - mathematics , oscillation (cell signaling) , class (philosophy) , interval (graph theory) , mathematical analysis , differential equation , order (exchange) , forced oscillation , function (biology) , derivative (finance) , nonlinear system , combinatorics , physics , genetics , finance , artificial intelligence , quantum mechanics , evolutionary biology , computer science , financial economics , economics , biology

We study the oscillation of all solutions of a general class of forced second-order differential equations, where their second derivative is not necessarily a continuous function and the coefficients of the main equation may be discontinuous. Our main results are not included in the previously published known oscillation criteria of interval type. Many examples and consequences are presented illustrating the main results

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