Advances in Mathematics Research. Volume 35


Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT000000; MAT027000

This volume contains nine chapters that detail advances in mathematics research. In chapter one, the author presents new spectral sufficient conditions for the Hamiltonian and traceable graphs. In chapter two, the authors examine the Green’s function in an acoustic gradient interface model of the monotonic Epstein. In chapter three, asymptotic formulae are presented for solutions and Green’s functions of Sturm-Liouville eigenvalue problem having eigen parameter both in differential equation and in one boundary condition. The focus of chapter four is the representation of Sum of Products in Boolean cubes. The author in chapter five explains the value of ontological logic in mathematical research. Chapter six proves that mathematical results using Riemannian geometry deeply question the origin and existence of gravitational waves. In chapter seven the author considers the problem of solving strongly nonlinear oscillators making use of averaging methods. In chapter eight, the authors study the existence and regularity of solutions in the α-norm for some second order partial neutral functional differential equations with infinite delay in Banach spaces. The last chapter probes the complexities of the frequency-amplitude formula, illuminating its integral role across both linear and nonlinear oscillatory contexts.


ISBN: N/A Categories: , ,

Table of Contents


Chapter 1. New Spectral Conditions for Some Hamiltonian Properties of Graphs
Rao Li
Department of Computer Science, Engineering, and Mathematics, University of South Carolina Aiken, Aiken, SC, USA

Chapter 2.
The Green’s Function in an Acoustic Gradient Interface Model of the Monotonic Epstein Type
Lasse Amundsen¹, Christine Reisæter Amundsen², and Bjørn Ursin³
¹Equinor, Trondheim, Norway and Department of Geoscience and Petroleum, The Norwegian University of Science and Technology, Trondheim, Norway
²Faculty of Natural Sciences, The Norwegian University of Science and Technology, Trondheim, Norway
³Department of Electronic Systems, Acoustics Group, The Norwegian University of Science and Technology, Trondheim, Norway

Chapter 3. Green’s Function Asymptotics for a Boundary Value Problem Contained Eigenvalue Parameter in the Boundary Condition
Ayşe Kabataş, PhD
Department of Mathematics, Karadeniz Technical University, Trabzon, Türkiye

Chapter 4. Geometric Exposition of Sum of Products and Their Orthogonality
Yavuz Can
Halic¸ University, Faculty of Engineering, Computer Engineering, Istanbul, Turkiye

Chapter 5. The Value of Ontological (Complementary-Dialectical) Logic in Mathematical Research
Leonid G. Antipenko, PhD
Senior Researcher, RAS Institute of Philosophy, Department of the Philosophy of Natural Sciences, Moscow, Russian Federation

Chapter 6. Gravitational Waves and the Foundations of Riemannian Geometry
J.F. Pommaret
DCERMICS, Ecole des Ponts ParisTech, France

Chapter 7. Elliptic Averaging Methods for Solving Nonlinear Oscillators
Alvaro H. Salas S.
Universidad Nacional de Colombia, Fizmako Research Group

Chapter 8. Local Existence and Regularity of Solutions in α-Norm for Some Second Order Partial Neutral Functional Differential Equations with Infinite Delay
Djendode Mbainadji¹ and Issa Zabsonre²
¹Department of Mathematics and Computer Science, Faculty of Fundamental Sciences, Polytechnic University of Mongo, Mongo, Chad
²Department of Mathematics, Research and Training Unit in Exact and Applied Sciences, Joseph KI-ZERBO University, Ouagadougou, Burkina Faso

Chapter 9. Nonlinear Oscillators with Non-Perturbative Approach
Yusry O. El-Dib
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt


Publish with Nova Science Publishers

We publish over 800 titles annually by leading researchers from around the world. Submit a Book Proposal Now!