-approximate solutions of second-order singular ordinary differential equations.
-symmetries and reduction of equations without Lie point symmetries.
Canonical form transformation of second order differential equations with Lie symmetries.
Canonical forms of ordinary linear differential equations
Caratheodory perturbation of a second-order differential inclusion with constraints.
Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose, we introduce an equivalent integral operator to the SLBVP by means of Green’s function on an appropriate set. By imposing the regularity conditions expressed in terms of Kuratowski measure of noncompactness, we prove the existence of the fixed points of the equivalent integral operator. Mönch’s...
Cases when the use of the analytic method for solving differential equations is better than the use of numerical ones
Cauchy atlas on the manifold of all maximal solutions of an ODE system.
Cauchy problem for derivors in finite dimension.
Cauchy Problem for Differential Equation with Caputo Derivative
The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate solution...
Cauchy's problem for systems of linear differential equations with distributional coefficients
Center manifold and exponentially-bounded solutions of a forced Newtonian system with dissipation.
Centroaffine invariants of plane curves in connection with the theory of the second-order linear differential equations
Certain higher monotonicity properties of Bessel functions
Certain higher monotonicity properties of -th derivatives of solutions of
C'est beau et chaud
Chaos synchronization of a fractional nonautonomous system
In this paper we investigate the dynamic behavior of a nonautonomous fractional-order biological system.With the stability criterion of active nonlinear fractional systems, the synchronization of the studied chaotic system is obtained. On the other hand, using a Phase-Locked-Loop (PLL) analogy we synchronize the same system. The numerical results demonstrate the effectiveness of the proposed methods.
Characterization of classes of singular linear differential-algebraic equations.
Charakterisierung der Differentiale mit geradlinigen Isoklinen.
Clairaut's equations of higher order.