Some existence results for boundary value problems of fractional semilinear evolution equations.
Some existence results for solutions of differential inclusions with retardations
Using the topological transversality method of Granas we prove an existence result for a system of differential inclusions with retardations of the form y'' ∈ F(t,y,y',Φ(y)). The result is applied to the study of the existence of solutions to an equation of the trajectory of an r-stage rocket with retardations.
Some features of uncontinuable solutions of impulsive dynamical systems.
Some fixed point theorems in locally convex spaces and applications to differential and integral equations
Some generalizations of one Mitrinovic's problem
Some geometric remarks about dispersions
Some inequalities for Sobolev integrals.
Some new results in 1D inverse scattering
Some nonlinear and nonlocal Sturm-Liouville problems motivated by the problem of flutter.
Some observations on a Conti's result
An extension of a result of R. Conti is given from which some integro-differential inequalities of the Gronwall-Bellman-Bihari type and a criterion for the continuation of solutions of a system of ordinary differential equations are deduced.
Some operational properties of the H-R operator
Some oscillatory properties of the perturbed linear differential equations of order
In this paper there are generalized some results on oscillatory properties of the binomial linear differential equations of order ) for perturbed iterative linear differential equations of the same order.
Some problems concerning the equivalences of two systems of differential equations
Some properties of linear homogeneous transformation of independent variable in ordinary differential linear equations
Some properties of solutions to polynomial systems of differential equations.
Some properties of third order differential operators
Consider the third order differential operator given by and the related linear differential equation . We study the relations between , its adjoint operator, the canonical representation of , the operator obtained by a cyclic permutation of coefficients , , in and the relations between the corresponding equations. We give the commutative diagrams for such equations and show some applications (oscillation, property A).
Some relations satisfied by Hermite-Hermite matrix polynomials
The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula. Furthermore, we define a new polynomial associated with the Hermite-Hermite matrix polynomials and establish the matrix differential equation associated with these polynomials. We give the addition theorems, multiplication theorems and summation formula for the Hermite-Hermite...
Some remarks concerning regularity of solutions for abstract differential equations
Some remarks on boundary value problem for differential inclusions
Some sufficient conditions for the existence of solutions to boundary value problem for differential inclusions are given.
Some remarks on comparison functions
We answer some questions concerning Perron and Kamke comparison functions satisfying the Carathéodory condition. In particular, we show that a Perron function multiplied by a constant may not be a Perron function, and that not every comparison function is bounded by a comparison function with separated variables. Moreover, we investigate when a sum of Perron functions is a Perron function. We also present a criterion for comparison functions with separated variables.