Results 101 to 110 of about 2,094 (218)

Differentiable approximations to Brownian motion on manifolds [PDF]

The main part of this thesis is devoted to generalised Ornstein-Uhlenbeck processes. We show how to construct such processes on 2-uniformly smooth Banach spaces.
Dowell, Richard Malcolm
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Weakly nonlinear boundary-value problems for differential equations in a Banach space in critical case

, 2010
Получены необходимое и достаточное условия существования решений слабонелинейных краевых задач для дифференциальных уравнений в банаховом пространстве. Предложен сходящийся итерационный процесс нахождения решения.
Бойчук, О.А., Панасенко, Є.В.   +1 more
core   +2 more sources

Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations

Electronic Journal of Differential Equations, 2004
In the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Shruti Agarwal, Dhirendra Bahuguna
doaj  

On a nonlinear functional second order integrodifferential equation in Banach Spaces

Malaya Journal of Matematik, 2013
In this paper, we study the existence, uniqueness and other properties of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space. The techniques used in our analysis are the theory of the strongly continuous cosine family, Schauder fixed point theorem and Pachpatte’s integral inequality.
Dhakane, P. M., Pachpatte, D. B.
openaire   +2 more sources

Robustness of infinite dimensional systems [PDF]

The results contained within this thesis concern an abstract framework for a robustness analysis of exponential stability of infinite dimensional systems.
Townley, Stuart
core  

Local Convergence for an Improved Jarratt-type Method in Banach Space

, 2015
We present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given using hypotheses up to the
González Sánchez, Daniel, Argyros, Ioannis K., González Sánchez, Daniel [0000-0001-5282-7251]   +2 more
core   +1 more source

Controllability of Nonlinear Differential Equations in Banach Space with Nonlocal Conditions

Journal of Optimization Theory and Applications, 2001
The authors consider sufficient conditions for the controllability of the following semilinear evolution systems in a Banach space with nonlocal initial conditions \[ y'-A(t,y)y= (Bu)(t)+ f(t,y),\;t\in J=[0,b], \] \[ y(0)+g(y) =y_0, \] where \(A,f:J\times E\to E\) are two continuous functions, \(g.C(J,E)\to E\), \(y_0\in E\), and \(E\) is a real Banach
Benchohra, M., Ntouyas, S. K.
openaire   +3 more sources

Nonlinear impulsive fractional differential equations in Banach spaces

, 2013
In this paper, we consider initial value problems for a class of nonlinear impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space.
Guo, Tian Liang
core  

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Dynamical Systems Method (DSM) for solving nonlinear operator equations in Banach spaces

, 2012
Let F (u) = h be a solvable operator equation in a Banach spaceX with a Gateaux differentiable norm. Under minimal smoothness assumptions on F, sufficient conditions are given for the validity of the Dynamical Systems Method (DSM) for solving the above ...
A G Ramm, Ramm, Alexander G.
core