Abstract Volterra operators
Abstract The aim of this paper is to study a differential equation with abstract Volterra operator. Existence and uniqueness, inequalities…
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Functional-differential equations with “maxima” via weakly Picard operators theory
Abstract The purpose of this paper is to present a differential equation with ”maxima”. Existence, uniqueness, inequalities of Caplygin type…
On a D.V. Ionescu’s problem for functional-differential equations
Abstract The purpose of this paper is to study a generalization of a D.V. Ionescu’s problem. Existence, uniqueness and data…
Integro-differential equation with two times modifications
Abstract We consider an integro-differential equation with two times modifications. Existence, uniqueness and monotony results of solution for the Cauchy…
Integro-Differential Equation with two time lags
Abstract We consider an integro-differential equation with two time lags and we prove the existence, uniqueness and convergence of the…
Exact solutions for differential equations in Celestial Mechanics
Abstract There are many problems in Celestial Mechanics which can be reduced to differential equations, either linear or nonlinear. We…
Lotka, Volterra and their model
Abstract The chemist and statistician Lotka, as well as the mathematician Volterra, studied the ecological problem of a predator population…
On Kantorovich-type Operators in Lp Spaces
Abstract This note is devoted to the study of a linear positive sequence of operators representing an integral form in…
Chebyshev collocation solutions to some nonlinear and singular third-order problems relevant to thin-film flows
Abstract This paper concerns accurate spectral collocation solutions, more precisely Chebyshev collocation (ChC), to some third-order nonlinear and singular boundary…
Free-surface equatorial flows with surface tension in spherical coordinates
AbstractIn this paper, we determine an exact solution to the governing equations in spherical coordinates for an inviscid, incompressible fluid.…