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 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.
On problems of B. Choczewski and M. Kuczma concerning an integral equation
On quadratic integral equations of Urysohn type in Fréchet spaces.
On radially symmetric solutions of some chemotaxis system
This paper contains some results concerning self-similar radial solutions for some system of chemotaxis. This kind of solutions describe asymptotic profiles of arbitrary solutions with small mass. Our approach is based on a fixed point analysis for an appropriate integral operator acting on a suitably defined convex subset of some cone in the space of bounded and continuous functions.
On solutions of a Volterra integral equation with deviating arguments.
On the application of measure of noncompactness to existence theorems
On the approximate solution of some Fredholm integral equations by Newton's method.
On the Aronszajn property for integral equations in Banach space
For the integral equation (1) below we prove the existence on an interval of a solution with values in a Banach space , belonging to the class , . Further, the set of solutions is shown to be a compact one in the sense of Aronszajn.
On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.
On the dynamics of a nonlinear multidimensional oscillator with memory.
On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation
On the existence and uniqueness of solutions of a certain integral-functional equation
On the existence of a fuzzy integral equation of Urysohn-Volterra type
We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.
On the existence of bounded continuous solution of Hammerstein integral equation
On the existence of continuous solutions of operator equations in Banach spaces