Results 61 to 70 of about 4,748 (237)

Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems

Journal of Mathematics, 2020
In this paper, a class of nonlocal impulsive differential equation with conformable fractional derivative is studied. By utilizing the theory of operators semigroup and fractional derivative, a new concept on a solution for our problem is introduced.
Mohamed Hannabou, Khalid Hilal, Ahmed Kajouni   +2 more
doaj   +1 more source

Banach Fixed Point Theory

, 2022
U ovom završnom radu prvo ćemo obraditi potpune metričke prostore i popratiti nekim primjerima, a zatim ćemo iskazati i dokazati čuveni Banachov teorem o fiksnoj točki.
Bučanac, Gabi
core  

The Optimal Mean–Variance Selling Problem With Finite Horizon

Mathematical Finance, EarlyView.
ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson, Jesper Lund Pedersen, Goran Peskir   +2 more
wiley   +1 more source

Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions

Abstract and Applied Analysis, 2014
This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions.
Xi Fu, Xiaoyou Liu
doaj   +1 more source

The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

Positive Solutions for a System of Fractional q-Difference Equations with Multi-Point Boundary Conditions

Fractal and Fractional
We explore the existence, uniqueness, and multiplicity of positive solutions to a system of fractional q-difference equations that include fractional q-integrals. This investigation is carried out under coupled multi-point boundary conditions featuring q-
Rodica Luca
doaj   +1 more source

Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations

Discrete Dynamics in Nature and Society, 2018
We consider a hybrid fractional sum-difference initial value problem and a hybrid fractional sequential sum-difference initial value problem. The existence results of these two problems are proved by using the hybrid fixed point theorem for three ...
Saowaluck Chasreechai, Thanin Sitthiwirattham   +1 more
doaj   +1 more source

Banach Fixed Point Theorem

, 2020
U ovom završnom radu rećićemo nešto o Banachovom kontrakcijskom principu koji je poznat pod imenom Banachovom teorem o fiksnoj točki. Denirat ćemo potpunost metrič- kih prostora i navesti neke primjere.
Derner, Ana
core  

The Mathematical History Behind the Granger–Johansen Representation Theorem

Oxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley   +1 more source

Fixed-Point Theorem for Isometric Self-Mappings

, 2020
In this paper, we derive a fixed-point theorem for self-mappings. That is, it is shown that every isometric self-mapping on a weakly compact convex subset of a strictly convex Banach space has a fixed ...
Joseph Frank Gordon
core   +1 more source