Results 111 to 120 of about 2,094 (218)

Dichotomies for Linear Evolutionary Equations in Banach Spaces

, 1994
In this paper we present a characterization for the existence of an exponential dichotomy for a linear evolutionary system on a Banach space. The theory we present here applies to general time-varying linear equations in Banach spaces.
Sell, G.R., Sacker, R.J.
core   +1 more source

Harnack-Ungleichungen und Anwendungen auf stochastische Gleichungen

, 2009
Ouyang S-X. Harnack inequalities and applications for stochastic equations. Bielefeld (Germany): Bielefeld University; 2009.In dieser Dissertation studieren wir hauptsächlich Wangs Harnack-Ungleichungen und ihre Anwendungen auf Übergangshalbgruppen, die ...
Ouyang, Shun-Xiang
core  

Functional differential equations with unbounded delay in extrapolation spaces

Electronic Journal of Differential Equations, 2014
We study the existence, regularity and stability of solutions for nonlinear partial neutral functional differential equations with unbounded delay and a Hille-Yosida operator on a Banach space X.
Mostafa Adimy, Mohamed Alia, Khalil Ezzinbi   +2 more
doaj  

Nonlinear differential equations in Banach spaces, and applications. [PDF]

Michigan Mathematical Journal, 1968
openaire   +2 more sources

ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [PDF]

Proceedings of the National Academy of Sciences, 1963
openaire   +2 more sources

Abstract Convergence Analysis for a New Nonlinear Ninth-Order Iterative Scheme

Mathematics
This study presents a comprehensive analysis of the semilocal convergence properties of a high-order iterative scheme designed to solve nonlinear equations in Banach spaces.
Ioannis K. Argyros, Sania Qureshi, Amanullah Soomro, Muath Awadalla, Ausif Padder, Michael I. Argyros   +5 more
doaj   +1 more source

On the semilocal convergence of derivative free methods for solving nonlinear equations

Journal of Numerical Analysis and Approximation Theory, 2012
We introduce a Derivative Free Method (DFM) for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for DFM using recurrence relations. Numerical examples validating our theoretical results are also provided
Ioannis K. Argyros, Hongmin Ren
doaj   +2 more sources

Nonlinear evolution equations and product integration in Banach spaces. [PDF]

Transactions of the American Mathematical Society, 1970
openaire   +2 more sources

Existence and Comparison Results for Nonlinear Volterra Integral Equations in a Banach Space

, 1977
In this paper we prove the existence of solutions to nonlinear Volterra integral equations in a Banach Space. A comparison theorem and the existence of maximal solutions are also obtained using the notion of ordering with respect to a cone.
Vaughn, Randy
core  

Nonlinear boundary value problem for second order impulsive integro-differential equations of mixed type in Banach space

, 2008
Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x′ and deviating argument ...
Li, Wenjuan, Song, Guangxing
core   +1 more source