Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term
Saad Althobati, Omar Bazighifan, Mehmet Yavuz
Abstract
In this work, we present new oscillation conditions for the oscillation of the higher-order differential equations with the middle term. We obtain some oscillation criteria by a comparison method with first-order equations. The obtained results extend and simplify known conditions in the literature. Furthermore, examining the validity of the proposed criteria is demonstrated via particular examples.
Topics & Concepts
Oscillation (cell signaling)Term (time)Differential equationWork (physics)Oscillation theoryMathematicsApplied mathematicsMathematical analysisNonlinear systemLinear differential equationPhysicsExact differential equationThermodynamicsBiologyQuantum mechanicsGeneticsDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems