Implicit Differential Equation In Locally Convex Spaces
Impulsive dynamic equations on a time scale.
Inclusion Statements for Operator Equations by a Continuity Principle.
Integral solutions for non-linear evolution equations on Banach space
Iterative Solutions of Nonlinear Initial Value Differential Equations in Chebyshev Series Using Lie Series.
IVPs for singular multi-term fractional differential equations with multiple base points and applications
The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional...
Kinetical systems
The aim of the paper is to give some preliminary information concerning a class of nonlinear differential equations often used in physical chemistry and biology. Such systems are often very large and it is well known that where studying properties of such systems difficulties rapidly increase with their dimension. One way how to get over the difficulties is to use special forms of such systems.
Kneser's theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces
We investigate the structure of the set of solutions of the Cauchy problem x’ = f(t,x), x(0) = x₀ in Banach spaces. If f satisfies a compactness condition expressed in terms of measures of weak noncompactness, and f is Pettis-integrable, then the set of pseudo-solutions of this problem is a continuum in , the space of all continuous functions from I to E endowed with the weak topology. Under some additional assumptions these solutions are, in fact, weak solutions or strong Carathéodory solutions,...
Les families de fonctions conduisant aux équations différentielles implicites par rapport à la dérivée.
Les Familles De Fonctions Conduisant Aux Équations Différentielles Implicites Par Rapport A La Dérivée
L’existence globale et les propriétés asymptotiques des solutions d’une équation différentielle non-linéaire d’ordre
Liens entre équations différentielles stochastiques et ordinaires
Linear differential equations with measures as coefficients and the control theory
Linear distributional differential equations in the space of regulated functions
In the paper existence and uniqueness results for the linear differential system on the interval [0,1] with distributional coefficients and solutions from the space of regulated functions are obtained.
Linear distributional differential equations of the second order
The paper deals with the linear differential equation (0.1) with distributional coefficients and solutions from the space of regulated functions. Our aim is to get the basic existence and uniqueness results for the equation (0.1) and to generalize the known results due to F. V. Atkinson [At], J. Ligeza [Li1]-[Li3], R. Pfaff ([Pf1], [Pf2]), A. B. Mingarelli [Mi] as well as the results from the paper [Pe-Tv] concerning the equation (0.1).
Lipschitz regularity and approximate differentiability of the Diperna-Lions flow
Lipschitzian generalized differential equations
Local invariance via comparison functions.
Logistic equation on measure chains
Lower semicontinuous differential inclusions
In the paper we consider lower semicontinuous differential inclusions with one sided Lipschitz and compact valued right hand side in a Banach space with uniformly convex dual. We examine the nonemptiness and some qualitative properties of the solution set.