EuDML | Browse

We give a sufficient condition for the oscillation of linear homogeneous second order differential equation $y^{''} + p (x) y^{'} + q (x) y = 0$ , where $p (x), q (x) \in C [α, \infty)$ and $α$ is positive real number.

A note on the oscillation of solutions of periodic linear differential equations

Steven B. Bank (1994)

Czechoslovak Mathematical Journal

A note on the oscillation of solutions of the differential equation $y^{''} = λ q (t) y$ with a periodic coefficient

Staněk, Svatoslav (1979)

Czechoslovak Mathematical Journal

A note on the oscillation of solutions of the differential equation $y^{'} + λ q (t) y = 0$ with an almost periodic coefficient

Staněk, Svatoslav (1985)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

A note on the oscillation problems for differential equations with $p (t)$ -Laplacian

Kōdai Fujimoto (2023)

Archivum Mathematicum

This paper deals with the oscillation problems on the nonlinear differential equation $(a (t) | x^{'} |^{p (t) - 2} x^{'})^{'} + b (t) {| x |}^{λ - 2} x = 0$ involving $p (t)$ -Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.

A phase of the differential equation $y^{'} = Q (t) y$ with a complex coefficient $Q$ of the real variable

Staněk, Svatoslav (1986)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

A Picone type identity for second-order half-linear differential equations.

Jaroš, J., Kusano, T. (1999)

Acta Mathematica Universitatis Comenianae. New Series

A polar coordinate transformation for nonhomogeneous differential systems

Tefteller, S.C. (1975)

Portugaliae mathematica

A remark on conjugacy of half-linear second order differential equations

Ondřej Došlý (2000)

Mathematica Slovaca

A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations

Ondřej Došlý, Frank Fiedler (1991)

Commentationes Mathematicae Universitatis Carolinae

Oscillation criteria of Nehari-type for the equation ${(- 1)}^{n} {(x^{α} y^{(n)})}^{(n)} + q (x) y = 0$ , $α \in 𝐑$ , are established. These criteria impose no sign restriction on the function $q (x)$ and generalize some recent results of the second author.

A remark on power comparison theorem for half-linear differential equations

Gabriella Bognár, Ondřej Došlý (2008)

Mathematica Bohemica

We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. 111 (2006), 165–179.

Currently displaying 21 – 40 of 806

Previous Page 2 Next

Displaying 21 – 40 of 806

A note on higher monotonicity properties of generalized Airy functions

A note on linear differential equations of the second order with the same basic central dispersion of the first kind

A note on oscillation and nonoscillation criteria for fourth order linear differential equations

A note on the definiteness of the differential equations $y^{''} = q (t) y$

A note on the oscillation of second order differential equations

A note on the oscillation of solutions of periodic linear differential equations

A note on the oscillation of solutions of the differential equation $y^{''} = λ q (t) y$ with a periodic coefficient

A note on the oscillation of solutions of the differential equation $y^{'} + λ q (t) y = 0$ with an almost periodic coefficient

A note on the oscillation problems for differential equations with $p (t)$ -Laplacian

A phase of the differential equation $y^{'} = Q (t) y$ with a complex coefficient $Q$ of the real variable

A Picone type identity for second-order half-linear differential equations.

A polar coordinate transformation for nonhomogeneous differential systems

A remark on conjugacy of half-linear second order differential equations

A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations

A remark on power comparison theorem for half-linear differential equations

A remark on the differential equation $y^{''} + q (x) y = r (x)$

A remark on the half-linear extension of the Hartman-Wintner theorem.

A Remark on the Oscillatoriness of Solutions of a Non-Linear Third-Order Equation

A remark on the oscillatory behavior of solutions of differential equations of order 3 and 4

A representation theorem for the linear quasi-differential equation ${(p y^{'})}^{'} + q y = 0$ .

Currently displaying 21 – 40 of 806