Analysis Commons^™

The Research On Competitiveness Of The Shipping Sectors In Pudong Shipping Cluster Of Shanghai International Shipping Center, Yuan Feng

World Maritime University Dissertations

No abstract provided.

Multimodal Transport Cost Analysis Of Coal Transport From Datong To Wh Power Station, Tingting Gao

World Maritime University Dissertations

No abstract provided.

The Research On Ship Financing Lease Mode And Risk Prevention, Yang Liu

World Maritime University Dissertations

No abstract provided.

Research On The Fluctuation And Forecasting Of International Dry Bulk Shipping Market Cycle Based On Rocet, Qianmo Zhang

World Maritime University Dissertations

No abstract provided.

Analysis Of Chinese Dry Bulk Ship Operators' Operation Mode And Strageties Basis On Voyage Estimation, Jinlong Ke

World Maritime University Dissertations

No abstract provided.

Covariant Representations Of C*-Dynamical Systems Involving Compact Groups, Firuz Kamalov

Department of Mathematics: Dissertations, Theses, and Student Research

Given a C*-dynamical system (A, G, σ) the crossed product C*-algebra A x _σG encodes the action of G on A. By the universal property of A x _σG there exists a one to one correspondence between the set all covariant representations of the system (A, G, σ) and the set of all *-representations of A x _σG. Therefore, the study of representations of A x _σG is equivalent to that of covariant representations of (A, G, σ).

We study induced covariant representations of systems involving compact groups. We prove that every irreducible (resp. factor) covariant …

Homotopy Perturbation Method For Solving System Of Generalized Abel’S Integral Equations, Sunil Kumar, Om P. Singh, Sandeep Dixit

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, a user friendly algorithm based on the homotopy perturbation method (HPM) is proposed to solve a system of generalized Abel’s integral equations. The stability of the solution under the influence of noise in the input data is analyzed. It is observed that the approximate solutions converge to the exact solutions. Illustrative numerical examples are given to demonstrate the efficiency and simplicity of the proposed method in solving such types of systems of Abel’s integral equations.

Solitary, Explosive, Rational And Elliptic Doubly Periodic Solutions For Nonlinear Electron-Acoustic Waves In The Earth’S Magnetotail Region With Cold Electron Fluid And Isothermal Ions, S. A. El-Wakil, E. M. Abulwafa, M. A. Abdou, E. K. El-Shewy, H. M. Abd-El-Hamid

Applications and Applied Mathematics: An International Journal (AAM)

A theoretical investigation has been made of electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid and isothermal ions with two different temperatures obeying Boltzmann type distributions. Based on the pseudo-potential approach, large amplitude potential structures and the existence of Solitary waves are discussed. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude electrostatic waves. An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the KdV equation, is …

Dust-Acoustic Solitary Waves In Magnetized Dusty Plasma With Dust Opposite Polarity, S. A. El-Wakil, M. T. Attia, E. K. El-Shewy, S. K. Zaghbeer, H. G. Abdelwahed

Applications and Applied Mathematics: An International Journal (AAM)

The nonlinear propagation of small but finite amplitude dust-acoustic solitary waves (DAWs) in magnetized collision less dusty plasma has been investigated. The fluid model is a four component magnetized dusty plasma, consisting of positive and negative dust species, isothermal electrons and ions in the presence of an external magnetic field. A reductive perturbation method was employed to obtain the Zakharov Kuznetsov (ZK) equation for the first-order potential. The effects of the presence of positively charged dust fluid, the external magnetic field, and the obliqueness are obtained. The results of the present investigation may be applicable to some plasma environments, such …

Analytic Investigation Of The Kp-Joseph-Egri Equation For Traveling Wave Solutions, N. Taghizadeh, M. Mirzazadeh

Applications and Applied Mathematics: An International Journal (AAM)

By means of the two distinct methods, the cosine-function method and the (G /G )  expansion method, we successfully performed an analytic study on the KP-Joseph-Egri (KP-JE) equation. We exhibited its further closed form traveling wave solutions which reduce to solitary and periodic waves.

Exact Soliton Solutions For Second-Order Benjamin-Ono Equation, Nasir Taghizadeh, Mohammad Mirzazadeh, Foroozan Farahrooz

Applications and Applied Mathematics: An International Journal (AAM)

The homogeneous balance method is proposed for seeking the travelling wave solutions of the second-order Benjamin-Ono equation. Many exact traveling wave solutions of second-order Benjamin-Ono equation, which contain soliton like and periodic-like solutions are successfully obtained. This method is straightforward and concise, and it may also be applied to other nonlinear evolution equations.

Algorithms To Solve Singularly Perturbed Volterra Integral Equations, Marwan T. Alquran, Bilal Khair

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we apply the Differential Transform Method (DTM) and Variational Iterative Method (VIM) to develop algorithms for solving singularly perturbed volterra integral equations (SPVIEs). The study outlines the significant features of the two methods. A comparison between the two methods for the solution of SPVIs is given for three examples. The results show that both methods are very efficient, convenient and applicable to a large class of problems.

Asymptotic Properties Of Stochastic Partial Differential Equations In Hilbert Spaces Driven By Non-Gaussian Noise, V Mandrekar, Li Wang

Communications on Stochastic Analysis

No abstract provided.

On The Value Of Stochastic Differential Games, Wendell H Fleming, Daniel Hernández-Hernández

Communications on Stochastic Analysis

No abstract provided.

An Extension Of Bifractional Brownian Motion, Xavier Bardina, Khalifa Es-Sebaiy

Communications on Stochastic Analysis

No abstract provided.

Cdo Tranche Sensitivities In The Gaussian Copula Model, Chao Meng, Ambar N Sengupta

Communications on Stochastic Analysis

No abstract provided.

Integration By Parts Formula And The Stein Lemma On Abstract Wiener Space, Hui-Hsiung Kuo, Yuh-Jia Lee

Communications on Stochastic Analysis

No abstract provided.

Erratum: Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise (Cosa, Vol. 2, No. 2 (2008) 209–227) [Mr2446690], Benedetta Ferrario

Communications on Stochastic Analysis

No abstract provided.

Robustness Of Option Prices And Their Deltas In Markets Modelled By Jump-Diffusions, Fred Espen Benth, Giulia Di Nunno, Asma Khedher

Communications on Stochastic Analysis

No abstract provided.

Dynamics Of A Stochastic Predator-Prey Model With The Beddington-Deangelis Functional Response, Ta Viet Ton, Atsushi Yagi

Communications on Stochastic Analysis

No abstract provided.

Evolution Systems Of Measures For Non-Autonomous Ornstein-Uhlenbeck Processes With Lévy Noise, Robert Wooster

Communications on Stochastic Analysis

No abstract provided.

Characterization Of Mass-Stationarity By Bernoulli And Cox Transports, Günter Last, Hermann Thorisson

Communications on Stochastic Analysis

No abstract provided.

A General Theorem For Portfolio Generating Functions, Olivier Menoukeu Pamen

Communications on Stochastic Analysis

No abstract provided.

Stochastic Jacobians In Affine Term-Structure Models: A Local Property, Cody Blaine Hyndman

Communications on Stochastic Analysis

No abstract provided.

Shooting Neural Networks Algorithm For Solving Boundary Value Problems In Odes, Kais I. Ibraheem, Bashir M. Khalaf

Applications and Applied Mathematics: An International Journal (AAM)

The objective of this paper is to use Neural Networks for solving boundary value problems (BVPs) in Ordinary Differential Equations (ODEs). The Neural networks use the principle of Back propagation. Five examples are considered to show effectiveness of using the shooting techniques and neural network for solving the BVPs in ODEs. The convergence properties of the technique, which depend on the convergence of the integration technique and accuracy of the interpolation technique are considered.

Exact Travelling Wave Solutions Of The Coupled Klein-Gordon Equation By The Infinite Series Method, Nasir Taghizadeh, Mohammad Mirzazadeh, Foroozan Farahrooz

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we employ the infinite series method for travelling wave solutions of the coupled Klein-Gordon equations. Based on the idea of the infinite series method, a simple and efficient method is proposed for obtaining exact solutions of nonlinear evolution equations. The solutions obtained include solitons and periodic solutions.

Convolution Equations In Spaces Of Distributions Supported By Cones, Alex Meril, Daniele C. Struppa

Mathematics, Physics, and Computer Science Faculty Articles and Research

We describe some examples of surjective convolutors on D'(T), for T a closed convex cone in Rn. We also give necessary and suffficient conditions on Si,..., Sm in S'(T) to be generators of the whole convolution algebra S'(F).

On Morrey Spaces In The Calculus Of Variations, Kyle Fey

Department of Mathematics: Dissertations, Theses, and Student Research

We prove some global Morrey regularity results for almost minimizers of functionals of the form u → ∫_Ω f(x, u, ∇u)dx. This regularity is valid up to the boundary, provided the boundary data are sufficiently regular. The main assumption on f is that for each x and u, the function f(x, u, ·) behaves asymptotically like the function h(|·|)^α(x), where h is an N-function.

Following this, we provide a characterization of the class of Young measures that can be generated by a sequence …

On A Family Of Generalized Wiener Spaces And Applications, Ian Pierce

Department of Mathematics: Dissertations, Theses, and Student Research

We investigate the structure and properties of a variety of generalized Wiener spaces. Our main focus is on Wiener-type measures on spaces of continuous functions; our generalizations include an extension to multiple parameters, and a method of adjusting the distribution and covariance structure of the measure on the underlying function space.

In the second chapter, we consider single-parameter function spaces and extend a fundamental integration formula of Paley, Wiener, and Zygmund for an important class of functionals on this space. In the third chapter, we discuss measures on very general function spaces and introduce the specific example of a generalized …

The Theory Of Discrete Fractional Calculus: Development And Application, Michael T. Holm

Department of Mathematics: Dissertations, Theses, and Student Research

The author's purpose in this dissertation is to introduce, develop and apply the tools of discrete fractional calculus to the arena of fractional difference equations. To this end, we develop the Fractional Composition Rules and the Fractional Laplace Transform Method to solve a linear, fractional initial value problem in Chapters 2 and 3. We then apply fixed point strategies of Krasnosel'skii and Banach to study a nonlinear, fractional boundary value problem in Chapter 4.

Adviser: Lynn Erbe and Allan Peterson