Coefficients of prolongations for symmetries of ODEs.
Coexistence of singular and regular solutions for the equation of Chipot and Weissler.
Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four
A class of degree four differential systems that have an invariant conic , , is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
Cohomology and Morse theory for strongly indefinite functionals.
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