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Analytical Solution of Time Fractional Kawahara and Modified Kawahara Equations by Homotopy Analysis Method
The article covers the implementation of the Homotopy Analysis method (HAM) in order to derive the general estimated analytical solutions for the...
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The Homotopy Method for the Complete Solution of Quadratic Two-parameter Eigenvalue Problems
We propose a homotopy method to solve the quadratic two-parameter eigenvalue problems, which arise frequently in the analysis of the asymptotic...
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A Whitehead theorem for periodic homotopy groups
We show that v n -periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.
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Bifoliated Homotopy Invariant and Metallic Submersions
In this paper, we prove that the signature of a compact oriented Riemannian manifold supporting two orthogonal Riemannian foliations is a bifoliated...
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Smashing localizations in equivariant stable homotopy
We study how smashing Bousfield localizations behave under various equivariant functors. We show that the analogs of the smash product and chromatic...
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Using Homotopy Link Function with Lipschitz Threshold in Studying Synchronized Fluctuations in Hierarchical Models
In this chapter, we use homotopy and Lipschitz concepts to study synchronization effects in a triangular discrete-time dynamical systems. We have...
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Equivariant Oka theory: survey of recent progress
We survey recent work, published since 2015, on equivariant Oka theory. The main results described in the survey are as follows. Homotopy principles...
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On Homotopy Classification of Elliptic Problems with Contractions and K-Groups of Corresponding C*-Algebras
We consider a computation of a group of stable homotopy classes for pseudodifferential elliptic boundary problems. We study this problem in terms of...
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Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects LMS-CMI Research School, London, July 2018
This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.The contributions to this volume are...
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A Stochastic Homotopy Tracking Algorithm for Parametric Systems of Nonlinear Equations
The homotopy continuation method has been widely used in solving parametric systems of nonlinear equations. But it can be very expensive and...
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Impact of awareness program on diabetes mellitus described by fractional-order model solving by homotopy analysis method
The major contributions to the noncommunicable disease is diabetes mellitus but knowledge and awareness of diabetes play a prominent role in...
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A study of moisture content in unsaturated porous medium by using homotopy perturbation method (HPM) and variational iteration method (VIM)
Vertical infiltration of water plays an important role in the recharged of contaminated water and enhanced moisture content in the unsaturated porous...
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Conley index theory without index pairs. I: The point-set level theory
We propose a new framework for Conley index theory. The main feature of our approach is that we do not use the notion of index pairs. We introduce,...
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Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory
This is the first of a series of papers that develop a systematic bridge between constructions in discrete mathematics and the corresponding...
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A reduced proximal-point homotopy method for large-scale non-convex BQP
In this paper, a reduced proximal-point homotopy (RPP-Hom) method is presented for large-scale non-convex box constrained quadratic programming (BQP)...
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Dualizing spheres for compact p-adic analytic groups and duality in chromatic homotopy
The primary goal of this paper is to study Spanier–Whitehead duality in the K ( n )-local category. One of the key players in the K ( n )-local category is...
