Results 81 to 90 of about 2,094 (218)
On MAP Estimates and Source Conditions for Drift Identification in SDEs
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
On the Existence of A Unique Solution for Nonlinear Ordinary Differential Equations of Order m
In this work I state and prove a theorem for local existence of a unique solution for the Nonlinear Ordinary Differential Equations (NODE): (1) of order m; where m is a positive integer; having the ...
Abdussalam A. Bojeldain
doaj +1 more source
On nonlinear equations of Hammerstein type in Banach spaces [PDF]
A new theorem on the existence and uniqueness of a solution of an equation of Hammerstein type u + T N
openaire +2 more sources
A new approximation method is proposed for the numerical evaluation of the nonlinear singular integrodifferential equations defined in Banach spaces.
Ladopoulos, E.G.
core +1 more source
Existence theorems for nonlinear differential equations having trichotomy in Banach spaces [PDF]
summary:We give existence theorems for weak and strong solutions with trichotomy of the nonlinear differential equation $$ \dot {x}(t)=\mathcal {L}( t)x(t)+f(t,x(t)),\quad t\in \mathbb {R}\leqno {\rm (P)} $$ where $\{\mathcal {L}(t)\colon t\in \mathbb ...
Gomaa, Adel Mahmoud
core +1 more source
The main objective of this paper is to obtain estimations of Hausdorff dimension as well as fractal dimension of global attractors and pullback attractors for both autonomous and nonautonomous functional differential equations (FDEs) in Banach spaces ...
Hu, Wenjie, Caraballo Garrido, Tomás
core +1 more source
On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
wiley +1 more source
On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces
We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved.
Tran Dinh Ke +3 more
doaj +1 more source
Existence and asymptotic stability of periodic solutions for impulsive delay evolution equations
This paper we devote to considering the periodic problem for the impulsive evolution equations with delay in Banach space. By using operator semigroup theory and the fixed point theorem, we establish some new existence theorems of periodic mild solutions
Qiang Li, Mei Wei
doaj +1 more source
Boundary value problems for semilinear evolution equations of compact type
Bibliography: p.
Sager, Herbert Casper
core

