On third order advanced nonlinear differential equations
Oscillation of second-order linear delay differential equations
The aim of this paper is to derive sufficient conditions for the linear delay differential equation (r(t)y′(t))′ + p(t)y(τ(t)) = 0 to be oscillatory by using a generalization of the Lagrange mean-value theorem, the Riccati differential inequality and the Sturm comparison theorem.
Positive coefficients case and oscillation
We consider the second order self-adjoint differential equation (1) (r(t)y’(t))’ + p(t)y(t) = 0 on an interval I, where r, p are continuous functions and r is positive on I. The aim of this paper is to show one possibility to write equation (1) in the same form but with positive coefficients, say r₁, p₁ and to derive a sufficient condition for equation (1) to be oscillatory in the case p is nonnegative and converges.
Sufficient conditions for the oscillation of -th order nonlinear delay differential equation
Oscillation of -th order linear and nonlinear delay differential equations
On a certain differential equation with time lag
Sufficient conditions for nonoscillation of neutral equations
On the oscillation of a linear differential equation of second order
Oscillatory and asymptotic properties of third and fourth order linear differential equations
Oscillation of second order delay and ordinary differential equation
The argument delay and oscillatory properties of differential equation of -th order
Oscillation of differential equations and -derivatives
Asymptotic properties of solutions of a second order nonlinear delay differential equation
Nonoscillatory solutions of a second order nonlinear delay differential equation
Problems with one quarter
In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation are derived. One of them deals with the case , and the other with the case .
The influence of argument delay on oscillatory properties of a second-order differential equation
On solutions of third order nonlinear differential equations
The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with deviating argument. In particular, we prove a comparison theorem for properties A and B as well as a comparison result on property A between nonlinear equations with and without deviating arguments. Our assumptions on nonlinearity f are related to its behavior only in a neighbourhood of zero and/or of infinity.
Comparison theorems for noncanonical third order nonlinear differential equations
The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.
Page 1