On an integral equation with modified argument.
On approximate solutions of degenerate integrodifferential parabolic problems
On Cauchy problem for the equations of reactor kinetics.
In this paper, the initial value problem for the equations of reactor kinetics is solved and the temperature feedback is taken into account. The space where the problem is solved is chosen in such a way that it may correspond best of all to the mathematical properties of the cross-section models. The local solution is found by the method of iterations, its uniqueness is proved and it is shown also that existence of global solution is ensured in the most cases. Finally, the problem of mild solution...
On existence of extremal solutions of nonlinear functional integral equations in Banach algebras.
On existence of solutions of a neutral differential equation with deviation argument.
On global attractivity of solutions of a functional-integral equation.
On Hammerstein equations with natural growth conditions.
On integral equations in a Banach space
On integral inclusions of Volterra type in Banach spaces
On iterative solution of nonlinear functional equations in a metric space.
On Monotone Abel-Volterra Integral Equations on the Half Line.
On monotonic solutions of an integral equation of Abel type
We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in . The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
On Multilevel Iterative Methods for Integral Equations of the Second Kind and Related Problems.
On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces.
On nonconvex valued Volterra integral inclusions in Banach spaces
On non-linear Volterra integral-functional equations in several variables
On nonstandard potentials in a Stefan problem.
On optimal matching measures for matching problems related to the Euclidean distance
We deal with an optimal matching problem, that is, we want to transport two measures to a given place (the target set) where they will match, minimizing the total transport cost that in our case is given by the sum of two different multiples of the Euclidean distance that each measure is transported. We show that such a problem has a solution with an optimal matching measure supported in the target set. This result can be proved by an approximation procedure using a -Laplacian system. We prove...
On oscillation of a kind of integro-differential equation with delay
This note contains a criterion for the oscillation of solution of a kind of integro-differential equations with delay.
On positive solutions of a class of second order nonlinear differential equations on the halfline
The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.