On the oscillatoriness of the solutions of the equation \([r(t)y^{(n-1)}(t)]'+p(t)f(y(\tau (t)))=0\).

DOI10.1007/BF01091960zbMath0299.34099OpenAlexW2095413245MaRDI QIDQ1215079

V. N. Shevelo, N. V. Varekh

Publication date: 1974

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01091960

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (5)

Development of oscillation theory of the solutions of differential equations with retarded argument ⋮ On the oscillation of solutions of the equation \([r(t)x^{(n-1)}(t)' + \delta\sum^m_{i=1} p_i(t)\varphi(x[g_1 (t)])=0\)] ⋮ Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order ⋮ Some aspects of the theory of nonlinear oscillations of systems with delayed argument (delayed action) ⋮ Some oscillation theorem for differential equations with functional arguments

Cites Work

• Unnamed Item
• Certain properties of solutions of differential equations with lag
• Oscillation and asymptotic behavior of solutions of differential equations with retarded argument

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