Certain higher monotonicity properties of Bessel functions
Certain higher monotonicity properties of -th derivatives of solutions of
Classification and existence of positive solutions to nonlinear dynamic equations on time scales.
Common increasing dispersions of certain linear second order differential equations
Compactness condition for boundary value problems
Comparison and oscillation theorems for second order differential equations
Comparison results for impulsive delay differential inequalities and equations.
Comparison results for two-dimensional half-linear cyclic differential systems
Two identities of the Picone type for a class of half-linear differential systems in the plane are established and the Sturmian comparison theory for such systems is developed with the help of these new formulas.
Comparison theorem for third-order differential equations
Comparison theorems for differential equations with deviating argument
Comparison Theorems for first Order Nonlinear Functional Differebtial Equations
Comparison theorems for fourth order differential equations.
Comparison theorems for functional differential equations
In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation are compared with those of the functional differential equation .
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.
Comparison theorems for nonlinear ODE's
Comparison theorems for pseudoconjugate points of half-linear ordinary differential equations of second order.
Comparison theorems for Sturm-Liouville equations
Comparison theorems for the third order trinomial differential equations with delay argument
In this paper we study asymptotic properties of the third order trinomial delay differential equation by transforming this equation to the binomial canonical equation. The results obtained essentially improve known results in the literature. On the other hand, the set of comparison principles obtained permits to extend immediately asymptotic criteria from ordinary to delay equations.
Comparison Theory for Riccati equations.
Conditional oscillation of half-linear differential equations with periodic coefficients
We show that the half-linear differential equation with -periodic positive functions is conditionally oscillatory, i.e., there exists a constant such that () with instead of is oscillatory for and nonoscillatory for .