Novel Oscillation Theorems and Symmetric Properties of Nonlinear Delay Differential Equations of Fourth-Order with a Middle Term
Barakah Almarri, S. Janaki, V. Ganesan, Ali Hasan Ali, Kamsing Nonlaopon, Omar Bazighifan
Abstract
The goal of this paper was to study the oscillations of a class of fourth-order nonlinear delay differential equations with a middle term. Novel oscillation theorems built on a proper Riccati-type transformation, the comparison approach, and integral-averaging conditions were developed, and several symmetric properties of the solutions are presented. For the validation of these theorems, several examples are given to highlight the core results.
Topics & Concepts
Nonlinear systemTerm (time)Oscillation (cell signaling)MathematicsClass (philosophy)Transformation (genetics)Differential equationOrder (exchange)Applied mathematicsDifferential (mechanical device)Mathematical analysisRiccati equationDelay differential equationType (biology)Computer sciencePhysicsBiologyEconomicsFinanceEcologyGeneArtificial intelligenceQuantum mechanicsChemistryGeneticsBiochemistryThermodynamicsDifferential Equations and Numerical MethodsFractional Differential Equations SolutionsNumerical methods for differential equations