Explicit criteria for the oscillation of second-order differential equations with several sub-linear neutral coefficients
Shyam Sundar Santra, Tanusri Ghosh, Omar Bazighifan
Abstract
Abstract In this work, we present sufficient conditions for oscillation of all solutions of a second-order functional differential equation. We consider two special cases when $\gamma >\beta $ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>γ</mml:mi><mml:mo>></mml:mo><mml:mi>β</mml:mi></mml:math> and $\gamma <\beta $ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>γ</mml:mi><mml:mo><</mml:mo><mml:mi>β</mml:mi></mml:math> . This new theorem complements and improves a number of results reported in the literature. Finally, we provide examples illustrating our results and state an open problem.
Topics & Concepts
MathematicsOrdinary differential equationOrder (exchange)AlgorithmPartial differential equationOscillation (cell signaling)Differential equationApplied mathematicsComputer scienceMathematical analysisChemistryEconomicsFinanceBiochemistryNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems