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 of Emden-Fowler type equations of second order
Oscillation and nonoscillation criteria are established for the equation where , and is a locally summable function.
Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients
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
Oscillation and nonoscillation criteria for the higher order self-adjoint differential equation are established. In these criteria, equation is viewed as a perturbation of the conditionally oscillatory equation where 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
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.
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.
Oscillation and nonoscillation of two terms linear and half-linear equations of higher order.
Oscillation and nonoscillation theorems for a class of even-order quasilinear functional differential equations.
Oscillation and spectral properties of self-adjoint even order differential operators with middle terms.
Oscillation behavior of a class of second-order dynamic equations with damping on time scales.
Oscillation behaviour of solutions of neutral delay differential equations
Oscillation conditions for first-order nonlinear advanced differential equations
Our purpose is to analyze a first order nonlinear differential equation with advanced arguments. Then, some sufficient conditions for the oscillatory solutions of this equation are presented. Our results essentially improve two conditions in the paper “Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments” by N. Kilıç, Ö. Öcalan and U. M. Özkan. Also we give an example to illustrate our results.
Oscillation criteria based on a new weighted function for linear matrix Hamiltonian systems.
Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations.