On stability of solutions to quasilinear periodic systems of differential equations.
On stability properties of solutions of second order differential equations.
On stable polynomials
The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
On strongly asymptotically developable functions and the Borel-Ritt theorem
We show that the holomorphic functions on polysectors whose derivatives remain bounded on proper subpolysectors are precisely those strongly asymptotically developable in the sense of Majima. This fact allows us to solve two Borel-Ritt type interpolation problems from a functional-analytic viewpoint.
On strongly monotone flows
M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
On structure of solutions of a system of four differential inequalities.
On subnormal solutions of periodic differential equations.
On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations.
On Sumudu transform and system of differential equations.
On symmetrizers for Gauss methods.
On systems governed by two alternating vector fields
We investigate the nonautonomous periodic system of ODE’s of the form , where is a -periodic function defined by for , for and the vector fields and are related by an involutive diffeomorphism.
On systems of linear generalized ordinary differential and integral inequalities.
On the absolutely continuous spectrum of perturbed periodic Sturm-Liouville operators.
On the abstract Cauchy problem in the case of constant domains
Si studiano esistenza, unicità e regolarità delle soluzioni strette, classiche e forti dell'equazione di evoluzione non autonoma con il dato iniziale , in uno spazio di Banach . Gli operatori sono generatori infinitesimali di semi-gruppi analitici ed hanno dominio indipendente da e non necessariamente denso in . Si danno condizioni necessarie e sufficienti per l'esistenza e la regolarità hölderiana della soluzione e della sua derivata.
On the abstract subordinated exit equation.
On the almost periodic solutions of differential equations on Hilbert spaces.
On the application of a theorem of K. Orlov to the approximate solution of differential equations
On the application of the theory of uniform distribution to the solution of differential equations. (Über die Anwendung der Theorie der Gleichverteilung auf die Lösung von Differentialgleichungen.)
On the applications of a new technique to solve linear differential equations, with and without source.
On the approximate solution of integro-differential equations arising in oscillating magnetic fields
In this work, we propose the Shannon wavelets approximation for the numerical solution of a class of integro-differential equations which describe the charged particle motion for certain configurations of oscillating magnetic fields. We show that using the Galerkin method and the connection coefficients of the Shannon wavelets, the problem is transformed to an infinite algebraic system, which can be solved by fixing a finite scale of approximation. The error analysis of the method is also investigated....