A Closer Look at Boundary Value Problems

$230.00

Mustafa Avci, PhD (Editor)
Science Department, Grande Prairie Regional College, AB, Canada

Series: Theoretical and Applied Mathematics
BISAC: MAT007000

Many problems encountered in applied mathematics or mathematical physics can be modeled by using differential equations under different boundary conditions. In this regard, linear and nonlinear partial differential equations are often used because of their strong capacity to describe and formulate many real-world problems governed by dynamical phenomena.

There are many different methods to solve linear and nonlinear problems arising from different studies in various disciplines. However, due to lack of general existence theorems for establishing solutions, scientists have to seek alternative approaches and methods. In this context, the present work demonstrates different methods and approaches to obtain solutions to some class of differential equations given under different boundary conditions.

The present book, where contemporary developments in the area of boundary value problems is shared, can be beneficial to advanced undergraduates, graduate students and researchers who are interested in the area of differential equations.
(Imprint: Nova)

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Table of Contents

Preface

Chapter 1. Boundary Value Problem of CO2 Production and Transport in Forest Sandy Soil
(Yury V. Zaika and Olga N. Bakhmet, RAS Corr. Member, Karelian Research Centre of the Russian Academy of Sciences, Department of Multidisciplinary Science Research, Petrozavodsk, Russia)

Chapter 2. Boundary Value Problem of Hydrogen Thermal Desorption: Reduction to Fractional Differential Equation
(Yury V. Zaika and Olga V. Fomkina, Karelian Research Centre of the Russian Academy of Science, Institute of Applied Math Research, Petrozavodsk, Russia, and others)

Chapter 3. Exact Absorbing Conditions for Initial Boundary Value Problems of Computational Electrodynamics: A Review
(Yuriy Sirenko, Vadym Pazynin, Kostyantyn Sirenko and Nataliya Yashina, Department of Diffraction Theory and Diffraction Electronics, O.Ya. Usikov Institute for Radiophysics and Electronics, Kharkiv, Ukraine, and others)

Chapter 4. Diffraction Boundary Value Problems for Electromagnetic Theory of Inhomogeneous Multilayered Media: Riccati Equation Method
(Petr Melezhik, Anatoliy Poyedinchuk, Yuriy Sirenko and Nataliya Yashina, Department of Diffraction Theory and Diffraction Electronics, O.Ya. Usikov Institute for Radiophysics and Electronics, Kharkiv, Ukraine, and others)

Chapter 5. The Linearization Methods as a Basis to Derive the Relaxation and the Shooting Methods
(István Faragó, DSc, and Stefan M. Filipov, PhD, Department of Differential Equations, Institute of Mathematics, Budapest University of Technology and Economics, Budapest, Hungary, and others)s

Chapter 6. The Existence of Boundary Value Problems of Fifth Painlevè Equation in a Complex Domain
(Rabha W. Ibrahim, Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam, and others)

Chapter 7. Existence of Solutions for a Steklov Problem with Variable Exponent
(Zehra Yücedağ, Dicle University, Vocational School of Social Sciences, Diyarbakir, Turkey)

Chapter 8. On a Class of Kirchhoff Type Problems Involving Critical Exponents and Caffarelli-Kohn-Nirenberg Inequalities
(Nguyen Thanh Chung, Department of Mathematics, Quang Binh University, Thuong Kiet, Dong Hoi, Quang Binh, Vietnam)

Index

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