Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Ovidiu Cârjă"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2004, Iss 50, Pp 1-14 (2004)
We consider the ordinary differential equation $u'(t)=f(t,u(t))$, where $f:[a,b]imes Do mathbb{R}^n$ is a given function, while $D$ is an open subset in $mathbb{R}^n$. We prove that, if $Ksubset D$ is locally closed and there exists a comparison func
Externí odkaz:
https://doaj.org/article/1b7fa10cddb5464db97833d4a53e0973
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-14 (2018)
Abstract We study evolution inclusions given by multivalued perturbations of m-dissipative operators with nonlocal initial conditions. We prove the existence of solutions. The commonly used Lipschitz hypothesis for the perturbations is weakened to on
Externí odkaz:
https://doaj.org/article/4f7eef74491c474f929d1f685aaa9469
Publikováno v:
Mathematics, Vol 8, Iss 5, p 750 (2020)
We develop a new concept of a solution, called the limit solution, to fully nonlinear differential inclusions in Banach spaces. That enables us to study such kind of inclusions under relatively weak conditions. Namely we prove the existence of this t
Externí odkaz:
https://doaj.org/article/980715690fdd4b03a93a5fcb799771b9
The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for
Autor:
Ovidiu Carja, Ioan I Vrabie
This volume contains refereed research articles written by experts in the field of applied analysis, differential equations and related topics. Well-known leading mathematicians worldwide and prominent young scientists cover a diverse range of topics
Autor:
Ovidiu Cârjă, A. I. Lazu
Publikováno v:
Applied Mathematics & Optimization. 84:2359-2377
In this paper we develop a variational approach for the norm optimal control problem in an abstract general setting for linear systems. This technique is also related to the classical pseudoinverse for linear and bounded operators between Hilbert spa
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 27:45-63
We show here that the set of the integral solutions of a nonlocal differential inclusion is dense in the set of the solution set of the corresponding relaxed differential inclusion. We further define a notion of limit solution and show that the set o
Publikováno v:
Mathematics
Volume 8
Issue 5
Mathematics, Vol 8, Iss 750, p 750 (2020)
Volume 8
Issue 5
Mathematics, Vol 8, Iss 750, p 750 (2020)
We develop a new concept of a solution, called the limit solution, to fully nonlinear differential inclusions in Banach spaces. That enables us to study such kind of inclusions under relatively weak conditions. Namely we prove the existence of this t
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 113:1917-1933
We study a class of nonlocal initial problems of evolution inclusions in the form of compact valued perturbations of m-dissipative evolution inclusions in Banach spaces with uniformly convex duals. The multivalued part is assumed to be one-sided Perr
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-14 (2018)
We study evolution inclusions given by multivalued perturbations of m-dissipative operators with nonlocal initial conditions. We prove the existence of solutions. The commonly used Lipschitz hypothesis for the perturbations is weakened to one-sided L