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
A note on the oscillation of second order differential equations
We give a sufficient condition for the oscillation of linear homogeneous second order differential equation , where and is positive real number.
A note on the oscillation of solutions of periodic linear differential equations
A note on the oscillation of solutions of the differential equation with a periodic coefficient
A note on the oscillation of solutions of the differential equation with an almost periodic coefficient
A note on the oscillation problems for differential equations with -Laplacian
This paper deals with the oscillation problems on the nonlinear differential equation involving -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 with a complex coefficient 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
Oscillation criteria of Nehari-type for the equation , , are established. These criteria impose no sign restriction on the function and generalize some recent results of the second author.
A remark on power comparison theorem for half-linear differential equations
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.
A remark on the differential equation
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 .