Theory and Applications of Mathematical Science Vol. 3

Current Issue

Editor(s)
Dr. Jong-Wuu Wu
Professor,
Department of Applied Mathematics, National Chiayi University, Taiwan.

Dr. Xingting Wang
Assistant Professor,
Department of Mathematics, Howard University, Washington, USA.

ISBN 978-93-89816-60-0 (Print)
ISBN 978-93-89816-61-7 (eBook)
DOI: 10.9734/bpi/tams/v3

This book covers all areas of mathematical science. The contributions by the authors include second-order ( ?,?)-(pseudo/quasi)-convexity; multiobjective programming; second-order duality, duality theorem; common fixed point; generalized weak contraction; altering distance; invariant approximation; nonlinear oscillators; equivalent linearization method; weighted averaging; autoregressive models; distributed lag model; macroeconomic time series; multiresolution analysis; wavelet theory; Swallowtail model; polynomial regression; generalized Riesz systems; non-self-adjoint Hamiltonian; quasi-Hermitian quantum mechanics; biorthogonal sequences; limit distribution; generalized Ornstein-Uhlenbeck processes; Ergodic theorem; Bivariate normal distribution; morgenstern type bivariate logistic distribution; morgenstern type bivariate exponential distribution; best linear unbiased estimation; coefficient variation; concomitants of order statistics; conformable fractional derivative; conformable fractional PDEs; closed form solution etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematical science.

Published: 2020-03-02

Chapters

A study on Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Non-linear Oscillators

D. V. Hieu, N. Q. Hai, D. T. Hung

1-22
An Approach of Second-order Duality for Nondifferentiable Multiobjective Programming Involving (? , ?)-Univexity

Ganesh Kumar Thakur, Bandana Priya

23-35
Generalized Riesz Systems and Ordered Structures of Their Constructing Operators

Hiroshi Inoue

36-54
Multiscale Decomposition of Big Data Time Series for Analysis and Prediction of Macroeconomic Data: A Recent Approach

Livio Fenga

55-83
Ergodic Properties of generalized Ornstein Uhlenbeck Processes

Andriy Yurachkivsky

84-105
Recent Advancement on Analytical Solution for Linear and Nonlinear Systems of Partial Dierential Equations Involving Time Conformable Fractional Derivatives

Maher Jneid, Abir Chaouk

106-117
Estimation of Parameters of Certain Bivariate Distributions with Equal Coecients of Variation by Concomitants of Order Statistics

N. K. Sajeevkumar

118-139
A Study on Common Fixed Point and Invariant Approximation Theorems for Mappings Satisfying Generalized Contraction Principle

R. Sumitra, V. Rhymend Uthariaraj, R. Hemavathy

140-148
Quantitative Analysis of Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model: A recent perspectives

Asti Meiza, Sutawanir Darwis, Agus Yodi Gunawan, Efi Fitriana

149-157

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