Results 31 to 40 of about 5,028,361 (312)

Controllability results for semilinear functional and neutral functional evolution equations with infinite delay [PDF]

Surveys in Mathematics and its Applications, 2009
In this paper sufficient conditions are given ensuring the controllability of mild solutions defined on a bounded interval for two classes of first order semilinear functional and neutral functional differential equations involving evolution operators ...
Selma Baghli, Mouffak Benchohra, Khalil Ezzinbi   +2 more
doaj  

Conformable Fractional Cosine Families of Operators

Journal of Mathematical Sciences and Modelling, 2019
In this paper we are concerned with the problem \begin{eqnarray*}\begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t))& t\in [0,T]\\ u(0)=u_0, D^{\alpha}u(0)=u_1\end{cases}\end{eqnarray*}  \begin{eqnarray*}     \begin{cases}     u^{(\alpha)}(t)=Au(t)+f(t,u(t)
L. S. Chadli, Said Melliani, Elomari M'hamed   +2 more
doaj   +1 more source

Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay [PDF]

Opuscula Mathematica, 2014
In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces.
M. Mallika Arjunan, N. Y. Nadaf
doaj   +1 more source

New Outcomes Regarding the Existence of Hilfer Fractional Stochastic Differential Systems via Almost Sectorial Operators

Fractal and Fractional, 2022
In this paper, we focus on the existence of Hilfer fractional stochastic differential systems via almost sectorial operators. The main results are obtained by using the concepts and ideas from fractional calculus, multivalued maps, semigroup theory ...
Sivajiganesan Sivasankar, Ramalingam Udhayakumar   +1 more
doaj   +1 more source

Estimates for mild solutions to semilinear Cauchy problems [PDF]

Electronic Journal of Differential Equations, 2014
The existence (and uniqueness) results on mild solutions of the abstract semilinear Cauchy problems in Banach spaces are well known. Following the results of Tartar (2008) and Burazin (2008) in the case of decoupled hyperbolic systems, we give an alternative proof, which enables us to derive an estimate on the mild solution and its time of existence ...
Burazin K., Erceg M.
openaire   +5 more sources

ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS [PDF]

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010
In the semigroup approach to stochastic evolution equations, the fundamental issue of uniqueness of mild solutions is often "reduced" to the much easier problem of proving uniqueness for strong solutions. This reduction is usually carried out in a formal way, without really justifying why and how one can do that.
Marinelli, Carlo, Röckner, Michael
openaire   +2 more sources

The Impact of the COVID‐19 Pandemic on Childhood Cancer Survival: A Population‐Based Assessment of Survival Patterns Between 2015 and 2023 in Germany

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Numerous international studies have reported declines in new cancer diagnoses, delayed diagnoses and disruptions in cancer treatment following the implementation of COVID‐19 pandemic public health measures, raising concerns that these effects may ultimately contribute to increased cancer mortality.
Friederike Erdmann, Maike Wellbrock, Javier Louro, Arndt Borkhardt, Martin Schrappe, Claudia Trübenbach, Desiree Grabow, Cécile M. Ronckers, Joachim Schüz   +8 more
wiley   +1 more source

Biphasic Clinical Course of Pediatric Cytomegalovirus‐Associated Immune Thrombocytopenia: Early Poor Treatment Response but Favorable Long‐Term Outcomes

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cytomegalovirus (CMV) is a recognized trigger of immune thrombocytopenia (ITP); however, its incidence and impact on disease course in children remain controversial. Therefore, we aimed to characterize the clinical course of pediatric patients with CMV‐associated ITP.
Oded Gilad, Ohad Atia, Osama Tanous, Dafna Brik Simon, Michal Dvori, Miriam Cohen, Tracie A. Goldberg, Efraim Bilavsky, Joanne Yacobovich, Orna Steinberg‐Shemer   +9 more
wiley   +1 more source

EXISTENCE, UNIQUENESS AND STABILITY OF A MILD SOLUTION OF LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS [PDF]

, 2015
We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equations (QSDEs). Results on the existence, uniqueness and stability of a mild solution of QSDEs are established.
Agarana, M. C., Agboola, O.O., Bishop, S.A., Oghonyon, J. G., Anake, T.A.   +4 more
core  

Controllability of Fractional Integro-Differential Equations with Delays and Singular Kernels in Fréchet Spaces

Mathematics
This paper is devoted to the investigation of existence and approximate controllability results for a class of fractional integro-differential equations formulated in Fréchet spaces.
Fatima Mesri, Abdelkrim Salim, Mouffak Benchohra   +2 more
doaj   +1 more source