EuDML | Browse

Oscillation and nonoscillation criteria are established for the equation $u^{''} + {p (t) | u |}^{α} {| u^{'} |}^{1 - α} sgn u = 0,$ where $α \in] 0, 1]$ , and $p : [0, + \infty [\to [0, + \infty [$ is a locally summable function.

Oscillation and nonoscillation of first order nonlinear delay differential equations

Rudlolf Olach (2004)

Acta Mathematica Universitatis Ostraviensis

Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

Adil Misir, Banu Mermerkaya (2017)

Open Mathematics

In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α-periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.

Oscillation and nonoscillation of higher order self-adjoint differential equations

Ondřej Došlý, Jan Osička (2002)

Czechoslovak Mathematical Journal

Oscillation and nonoscillation criteria for the higher order self-adjoint differential equation ${(- 1)}^{n} {(t^{α} y^{(n)})}^{(n)} + q (t) y = 0 (*)$ are established. In these criteria, equation $(*)$ is viewed as a perturbation of the conditionally oscillatory equation ${(- 1)}^{n} {(t^{α} y^{(n)})}^{(n)} - \frac{μ_{n, α}}{t^{2 n - α}} y = 0,$ where $μ_{n, α}$ is the critical constant in conditional oscillation. Some open problems in the theory of conditionally oscillatory, even order, self-adjoint equations are also discussed.

Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients

Zhiguo Luo, Jian Hua Shen (2004)

Czechoslovak Mathematical Journal

In this paper, oscillattion and nonoscillation criteria are established for neutral differential equations with positive and negative coefficients. Our criteria improve and extend many results known in the literature.

Currently displaying 1401 – 1420 of 1662

Previous Page 71 Next

Displaying 1401 – 1420 of 1662

Oscillation and asymptotic stability of a delay differential equation with Richard's nonlinearity.

Oscillation and global asymptotic stability of a neuronic equation with two delays.

Oscillation and nonoscillation criteria for a second-order linear equation.

Oscillation and nonoscillation criteria for retarded functional differential equations

Oscillation and nonoscillation criteria for second-order linear differential equations.

Oscillation and nonoscillation criteria for two-dimensional systems of linear ordinary differential equations.

Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations.

Oscillation and nonoscillation criteria for two-dimensional systems of first-order linear ordinary differential equations.

Oscillation and nonoscillation for impulsive dynamic equations on certain time scales.

Oscillation and nonoscillation in delay or advanced differential equations and in integrodifferential equations.

Oscillation and non-oscillation in solutions of nonlinear stochastic delay differential equations.

Oscillation and nonoscillation of Emden-Fowler type equations of second order

Oscillation and nonoscillation of first order nonlinear delay differential equations

Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

Oscillation and nonoscillation of higher order self-adjoint differential equations

Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients

Oscillation and nonoscillation of nonhomogeneous third order differential equations

Oscillation and nonoscillation of perturbed higher order Euler-type differential equations.

Oscillation and nonoscillation of solutions to even order self-adjoint differential equations.

Oscillation and non-oscillation of some neutral differential equations of odd order.

Currently displaying 1401 – 1420 of 1662