Bounds for asymptote singularities of certain nonlinear differential equations.
Bounds for certain nonlinear dynamic inequalities on time scales.
Bounds for solutions of a nonlinear differential equation of the third order
Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method.
BV solutions of multivalued differential equations on closed moving sets in Banach spaces
This paper is concerned with the existence of BV and right continuous solutions for some classes of multivalued differential equations on closed moving sets in Banach spaces.
solutions of rate independent differential inclusions
We consider a class of evolution differential inclusions defining the so-called stop operator arising in elastoplasticity, ferromagnetism, and phase transitions. These differential inclusions depend on a constraint which is represented by a convex set that is called the characteristic set. For (bounded variation) data we compare different notions of solutions and study how the continuity properties of the solution operators are related to the characteristic set. In the finite-dimensional case...
-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 problem with Denjoy-Stieltjes integral
This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order . These kinds of equations are a generalization of the measure differential equations. Our results extend A. A. Kilbas, H. M. Srivastava, J. J. Trujillo (2006) and H. Zhou, G. Ye, W. Liu, O. Wang (2015).
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