On a nonlocal Cauchy problem for differential inclusions.
On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces
This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.
On a periodic time-dependent model of population dynamics with stage structure and impulsive effects.
On a problem of potential wells.
On a reduction of nonlinear ordinary differential equations at an irregular type singularity
On a second-order differential inclusion with constraints.
On a structure of second order linear differential equations with periodic coefficients having the same discriminant
On a structure of the intersection of the set of dispersions of two second-order linear differential equations
On a successive approximation method of solving the Cauchy problem for systems of generalized ordinary differential equations.
On a theorem of Browder
On a Theorem of Mierczyński
We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation
On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
On a transformation of solutions of the differential equation with a complex coefficient of a real variable
On a type of linear differential equations in Fréchet spaces
On a uniqueness theorem in the inverse Sturm-Liouville problem
On a vector multipoint boundary value problem
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation
On algebraic solutions of algebraic Pfaff equations
We give a new proof of Jouanolou’s theorem about non-existence of algebraic solutions to the system . We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions.
On aliases of differential equations
Theory of chemical reactions in complex mixtures exhibits the following problem. Single reacting species follow an intrinsic kinetic law. However, the observable quantity, which is a mean of individual concentrations, follows a different law. This one is called «alias» of intrinsic kinetics. In this paper the phenomenon of alias of uniform families of differential equations is discussed in general terms.
On almost periodicity defined via non-absolutely convergent integrals
We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.