Comments on “A new method for the explicit integration of Lotka-Volterra equations”.
Common increasing dispersions of certain linear second order differential equations
Commutators and linearizations of isochronous centers
We study isochronous centers of some classes of plane differential systems. We consider systems with constant angular speed, both with homogeneous and nonhomogenous nonlinearities. We show how to construct linearizations and first integrals of such systems, if a commutator is known. Commutators are found for some classes of systems. The results obtained are used to prove the isochronicity of some classes of centers, and to find first integrals for a class of Liénard equations with isochronous centers....
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.
Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations
Complementary analysis of a model of the human immune system after a series of vaccinations, proposed in [7] and studied in [6], is presented. It is shown that all coordinates of every solution have at most two extremal values. The theoretical results are compared with experimental data.
Complete polynomial vector fields in simplexes with application to evolutionary dynamics.