Some comparison and oscillation results for first-order differential equations and inequalities with a deviating argument

DOI10.1016/0022-247X(88)90190-4zbMath0664.34071OpenAlexW2150717316MaRDI QIDQ1114845

Myron K. Grammatikopoulos, Mustafa R. S. Kulenović

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90190-4

zbMATH Keywords

differential inequalitiesoscillatory propertiesnonoscillatory solutionsvector differential equation with deviating argument

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (9)

Oscillation and nonoscillation of advanced differential equations with variable coefficients ⋮ Iterative oscillation tests for differential equations with several non-monotone arguments ⋮ Oscillations of differential equations with several non-monotone advanced arguments ⋮ Oscillation of solutions to non-linear difference equations with several advanced arguments ⋮ Oscillation and nonoscillation of a delay differential equation ⋮ Oscillations of difference equations with general advanced argument ⋮ Oscillations for certain difference equations with continuous variable ⋮ Oscillation of odd order neutral differential equations ⋮ The discrete Lyapunov function for scalar differential delay equations

Cites Work

• Comparison theorems for delay differential equations
• Some oscillation results for matrix and vector differential equations with forcing term
• On the existence of nonoscillatory solutions tending to zero at infinity for differential equations with positive delays
• On the delay-differential equations x'(t) + a(t)f(x(t - r(t))) = 0 and x(t) + a(t)f(x(t - r(t)))=0
• Oscillation criteria for a class of nonlinear vector delay-differential equations
• A lattice-theoretical fixpoint theorem and its applications
• Necessary and Sufficient Conditions for Oscillations
• Class of functional equations with applications
• Oscillation Criteria for Second-Order Differential Systems
• Sharp conditions for oscillations caused by delays
• Oscillations caused by several retarded and advanced arguments
• Sturm-type comparison theorems for first- and second-order differential equations with delays of variable sign
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