Results 31 to 40 of about 8,232,469 (362)

Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions

Set-Valued and Variational Analysis
AbstractExistence results for a Cauchy problem driven by a semilinear differential Sturm-Liouville inclusion are achived by proving, in a preliminary way, an existence theorem for a suitable integral inclusion. In order to obtain this proposition we use a recent fixed point theorem that allows us to work with the weak topology and the De Blasi measure ...
Tiziana Cardinali, Giulia Duricchi
openaire   +3 more sources

Mild solutions of non‐Lipschitz stochastic integrodifferential evolution equations [PDF]

Mathematical Methods in the Applied Sciences, 2016
In this work, we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations under local non‐Lipschitz conditions on the coefficients. Our analysis makes use of the theory of resolvent operators as developed by R. Grimmer as well as a stopping time technique.
Abdoul Diop, Mamadou, Caraballo, Tomás, Mané, Aziz   +2 more
openaire   +1 more source

A Priori Uniform Bounds as Measure-Theoretic Tools: Long-Term Analysis via Classical-Enhanced Synthesis

Mathematics
This work presents a systematic study of nonlinear differential equations within Sobolev spaces, focusing on mild solutions and their qualitative properties.
Jianchao Bai, Jinxing Liu
doaj   +1 more source

Existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions

AIMS Mathematics, 2022
In this paper, we study sufficient conditions for the existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions.
Song Wang, Xiao-Bao Shu, Linxin Shu
doaj   +1 more source

Cerebrospinal Fluid Liquid Biopsy Enables Targeted Therapy Without Tissue Diagnosis in Pediatric Low‐Grade Gliomas With BRAF V600E Mutation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT We present two pediatric cases of pediatric low‐grade gliomas (PLGG) with BRAF V600E mutations diagnosed and monitored using cerebrospinal fluid (CSF) liquid biopsy analyzed via digital droplet PCR (ddPCR), without tissue biopsy. Both patients were treated with dabrafenib and trametinib and monitored through clinical assessments, magnetic ...
Hannah Sultan, Damien Faury, Alexander G. Weil, Harrison J. Westwick, Nada Jabado, Sébastien Perreault   +5 more
wiley   +1 more source

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

Prognostic Impact of Treatment Modalities, Including Targeted Compartmental Radio‐Immunotherapy, in a Cohort of Neuroblastoma Patients With CNS Metastases at Relapse

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Neuroblastoma (NB) with central nervous system (CNS) metastases is rare at diagnosis, but occurs more often during relapse/progression. Patients with CNS metastases face a dismal prognosis, with no standardized curative treatment available.
Vicente Santa‐Maria Lopez, Anna Felip‐Badia, Marina Caballero‐Bellon, Nazaret Sanchez‐Sierra, Alicia Castañeda, Moira Garraus, Maite Gorostegui, Margarida Simão‐Rafael, Juan Pablo Muñoz, Marta Perez‐Somarriba, Salvador Mañe, Mariana Cecilia Planells, Sara Perez‐Jaume, Jaume Mora   +13 more
wiley   +1 more source

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

Existence results for some integro-differential equations with state-dependent nonlocal conditions in Fréchet Spaces

Nonautonomous Dynamical Systems, 2020
In this work, we present existence of mild solutions for partial integro-differential equations with state-dependent nonlocal local conditions. We assume that the linear part has a resolvent operator in the sense given by Grimmer.
Diop Mamadou Abdoul, Bete Kora Hafiz, Kakpo Reine, Ogouyandjou Carlos   +3 more
doaj   +1 more source