Convex and nonconvex perturbations of evolution equations. (Perturbations convexes et non convexes des équations d'évolution.)
Convexity of the orientor field and the solution set of a class of evolution inclusions
Convolution operators on spaces of holomorphic functions
A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.
Coordinate description of analytic relations
In this paper we present an algebraic approach that describes the structure of analytic objects in a unified manner in the case when their transformations satisfy certain conditions of categorical character. We demonstrate this approach on examples of functional, differential, and functional differential equations.
Coppel-Conti sets of linear systems.
Correction on “The properties of the Aumann integral with applications to differential inclusions and control systems”
Correction to the paper: Random coincidence degree theory with applications to random differential inclusions
Corrections to the paper: “On formal theory of differential equations. II.”
Corrigendum to: Positive solutions for systems of generalized three-point nonlinear boundary value problems
Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems
In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.
Covariant constructions in the theory of linear differential equations
Criterion for the polynomial solutions of certain first order differential equations
Critical point theory and nonlinear differential equations
Cubic and quartic planar differential systems with exact algebraic limit cycles.
Cylindrical Tzitzeica curves implies forced harmonic oscillators.
Decaying positive entire solutions of the -Laplacian
Decaying positive solutions of some quasilinear differential equations
The existence of decaying positive solutions in of the equations and displayed below is considered. From the existence of such solutions for the subhomogeneous cases (i.e. as ), a super-sub-solutions method (see § 2.2) enables us to obtain existence theorems for more general cases.
Decomposing a 4th order linear differential equation as a symmetric product
Let L(y) = 0 be a linear differential equation with rational functions as coefficients. To solve L(y) = 0 it is very helpful if the problem could be reduced to solving linear differential equations of lower order. One way is to compute a factorization of L, if L is reducible. Another way is to see if an operator L of order greater than 2 is a symmetric power of a second order operator. Maple contains implementations for both of these. The next step would be to see if L is a symmetric product of...
Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs
Necessary and sufficiently conditions are derived for the decomposition of a second order linear time- varying system into two cascade connected commutative first order linear time-varying subsystems. The explicit formulas describing these subsystems are presented. It is shown that a very small class of systems satisfies the stated conditions. The results are well verified by simulations. It is also shown that its cascade synthesis is less sensitive to numerical errors than the direct simulation...
Decomposition of homogeneous vector fields of degree one and representation of the flow