The oscillation of a forced equation implies the oscillation of the unforced equation - small forcings

DOI10.1016/0022-247X(80)90063-3zbMath0443.34032OpenAlexW2058237000MaRDI QIDQ1144197

Athanassios G. Kartsatos

Publication date: 1980

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(80)90063-3

zbMATH Keywords

oscillation of a forced equationsmall forcings

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (14)

Oscillation and asymptotic behaviour of nonlinear equations with middle terms of order N − 1 and forcings ⋮ Oscillation criteria for \(n\)th-order forced functional-differential equations ⋮ Note on forced oscillation of \(n\)th-order sublinear differential equations ⋮ A comparison theorem for general nonlinear ordinary differential equations ⋮ On oscillatory solutions of certain first order ordinary differential equations ⋮ Asymptotic and oscillatory behavior of \(n\)th order forced functional differential equations ⋮ On forced oscillation of higher order functional differential equations ⋮ On oscillatory solutions of certain forced Emden-Fowler like equations ⋮ Interval criteria for oscillation of a forced impulsive differential equation with Riemann-Stieltjes integral ⋮ On delay-independent criteria for oscillation of higher-order functional differential equations ⋮ Forced oscillation of \(n\)th-order functional differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Comparison theorems for forced functional differential equations

Cites Work

• Unnamed Item
• Forced oscillations for differential equations of arbitrary order
• On n-th-order differential inequalities
• Nth order oscillations with middle terms of order N - 2
• The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
• Qualitative behavior of solutions of a third order nonlinear differential equation
• On oscillation of solutions of even order nonlinear differential equations
• The oscillation character of the solutions of the equation $y\sp{(n)}+f(x)y\sp\alpha=0$, $n>1$
• A criterion of oscillatory stability

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