Format: Hardback, 510 pages, height x width: 235x155 mm, 55 Illustrations, color; 14 Illustrati@ons, black and white; VI, 510 p. 69 illus., 55 illus. in color.,
Series: Springer Proceedings in Mathematics & Statistics 416
Pub. Date: 10-Apr-2023
ISBN-13: 9783031252242
Goodreads reviews
This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines.The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.
A. S. Ackleh, S. Sikder and A. Zhang, A Discrete-time Predator-Prey Model with Selection and Mutation.- John A. D. Appleby and E. Lawless, On the dynamics and asymptotic behaviour of the mean square of scalar linear stochastic difference equations.- V. Avrutin, L. Gardini, I. Sushko, Z. T. Zhusubaliyev, and U. A. Sopuev, Border Collision and Heteroclinic Bifurcations in a 2D Piecewise Smooth Map.- T. Azizi, Using Homotopy link function with Lipschitz threshold in studying synchronized fluctuations in biology.- A. G. Bagdasaryan, Solving Third Order Linear Recurrence Relations with Applications to Number Theory and Combinatorics.- A. Linero Bas and D. N. Roldan, A survey on max-type difference equations.- M. Bialecki, Catalan numbers recurrence as a stationary state equation of the probabilistic cellular automaton.- G. N. Chhatria and A. K. Tripath, Oscillation of Second Order Impulsive Neutral Difference Equations of Non-Canonical Type.- D. Dragicevic, On the robustness property of nonuniform exponential dichotomies.- S. Gefter, A. Goncharuk, and A. Piven, Implicit linear first order difference equations over commutative rings.- Z. Hou, Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps.- S. Kalabusic, Dz. Drino and E. Pilav, Bifurcation and stability of a Ricker host-parasitoid model with a host constant refuge and general escape function.- S. Kapcak, Sage Math Tools for Stability and Bifurcation for Discrete Dynamical Systems.- P. E. Kloeden, Pullback attractors of nonautonomous lattice difference equations.- M. R. S. Kulenovic and S. Van Beaver, Global Dynamics of Modified Discrete Lotka-Volterra Model.- H. Marzougui and A. Daghar, Nonwandering sets and Special -limit sets of Monotone maps on Regular Curves.- K. Mokni and Mohamed Ch-Chaoui, Asymptotic Stability, Bifurcation Analysis and Chaos Control in a Discrete Evolutionary Ricker Population Model with immigration.- Y. N. Raffoul, Weighted Norms In AdvancedVolterra Difference Equations.- A. Roznjik, H. Peics, and George E. Chatzarakis, Comparison of Tests for Oscillations in Delay/Advanced Difference Equations with Continuous Time.- M. Saburov and K. Saburo, Krause Mean Processes Generated by Cubic Stochastic Matrices II: Off-Diagonally Positive Cubic Stochastic Matrices.- L. Sing, Linearization for difference equations with infinite delay.- S. H. Streipert and Gail S. K. Wolkowicz, A Method to Derive Discrete Population Models.- Horst R. Thieme, Reproduction number versus turnover number in structured discrete-time population models.
Format: Hardback, height x width: 240x168 mm, Approx. 175 p.
Series: Synthesis Lectures on Mathematics & Statistics
Pub. Date: 21-Apr-2023
ISBN-13: 9783031269271
This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall's lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers' understanding of the concepts presented.
Introduction.- Preliminary Background.- Implicit Fractional Differential Equations.- Fractional Differential Equations with Instantaneous Impulses.- Fractional Differential Equations with Non-Instantaneous Impulses.
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Format: Hardback, 420 pages, height x width: 235x155 mm, 3 Illustrations, color; 6 Illustrations, black and white; XX, 420 p. 9 illus., 3 illus. in color.
Pub. Date: 10-May-2023
ISBN-13: 9783031242540
Despite the fundamental role played by Reshetnyak's work in the theory of surfaces of bounded integral curvature, the proofs of his results were only available in his original articles, written in Russian and often hard to find. This situation used to be a serious problem for experts in the field. This book provides English translations of the full set of Reshetnyak's articles on the subject. Together with the companion articles, this book provides an accessible and comprehensive reference for the subject. In turn, this book should concern any researcher (confirmed or not) interested in, or active in, the field of bounded integral curvature surfaces, or more generally interested in surface geometry and geometric analysis. Due to the analytic nature of Reshetnyak's approach, it appears that his articles are very accessible for a modern audience, comparing to the works using a more synthetic approach. These articles of Reshetnyak concern more precisely the work carried by the author following the completion of his PhD thesis, under the supervision of A.D. Alexandrov. Over the period from the 1940's to the 1960's, the Leningrad School of Geometry, developed a theory of the metric geometry of surfaces, similar to the classical theory of Riemannian surfaces, but with lower regularity, allowing greater flexibility. Let us mention A.D. Alexandrov, Y.D. Burago and V.A. Zalgaller. The types of surfaces studied by this school are now known as surfaces of bounded curvature. Particular cases are that of surfaces with curvature bounded from above or below, the study of which gained special attention after the works of M. Gromov and G. Perelman. Nowadays, these concepts have been generalized to higher dimensions, to graphs, and so on, and the study of metrics of weak regularity remains an active and challenging field. Reshetnyak developed an alternative and analytic approach to surfaces of bounded integral curvature. The underlying idea is based on the theorem of Gauss which states that every Riemannian surface is locally conformal to Euclidean space. Reshetnyak thus studied generalized metrics which are locally conformal to the Euclidean metric with conformal factor given by the logarithm of the difference between two subharmonic functions on the plane. Reshetnyak's condition appears to provide the correct regularity required to generalize classical concepts such as measure of curvature, integral geodesic curvature for curves, and so on, and in turn, to recover surfaces of bounded curvature. Chapter-No.7, Chapter-No.8, Chapter-No.12 and Chapter-No.13 are available open access under Creative Commons Attribution-NonCommercial 4.0 International License via link.springer.com.
1 Translation of Reshetnyak, Isothermal coordinates on manifolds of bounded curvature, Doklady Akad. Nauk SSSR (N.S.) 94, (1954).2 Translation of Reshetnyak, Study of manifolds of bounded curvature using isothermal coordinates, Izvestiia Sibirskogo otdeleniia Akademii nauk SSSR 10, 1959.3 Translation of Reshetnyak, Isothermal coordinates on manifolds of bounded curvatures I, Sibirsk. Mat. Z. 1, 1960.4 Translation of Reshetnyak, Isothermal coordinates on manifolds of bounded curvatures II, Sibirsk. Mat. Z. 1,1960.5 Translation of Reshetnyak, On isoperimetric property of two dimensional manifolds with curvature bounded above, Vestnik Leningrad. Univ. 16 1961.6 Translation of Reshetnyak, On a special mapping of a cone onto a polyhedron. Mat. Sb. (N.S.) 53 (95) 1961.7 Translation of Reshetnyak, A special mapping of a cone into a manifold of bounded curvature. Sibirsk. Mat. Z. 3 1962.8 Translation of Reshetnyak, Turn of curves in manifolds of bounded curvature with isothermal metric, Sibirsk. Mat. Z. 4, 1963.9 Translation of Reshetnyak, Arc-length in a manifold of bounded curvature with isothermal metric, Sibirsk. Mat. Z. 4, 1963.A Translation of Alfred Huber, On the potential theory aspect of Alexandrov surfaces theory, Commentarii Mathematici Helvetici 34, 1960.B A translation and an up-to-date by the author of Marc Troyanov, Les courbures integrales bornees au sens d'Alexandrov, in Annual day of the French Mathematical Society, 2009.C A translation and an up-to-date by the author of Marc Troyanov, Surfaces riemanniennes a singularites simples, Proceedings of Symposia in pure Mathematics, vol 54 (1993), Part 2.D Francois Fillastre, An introduction to Reshetnyak's theory of subharmonic distances.E Jerome Bertrand, Title TBA. (A survey about modern developments of theory of metrics with low regularity, probably including higher dimensions.)
Format: Hardback, height x width: 235x155 mm, Approx. 450 p.
Pub. Date: 06-May-2023
ISBN-13: 9783031259487
This book explores generalized Lorenz-Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam relying on the method of separation of variables. Although it particularly focuses on the homogeneous sphere, the book also considers other regular particles. It discusses in detail the methods available for evaluating beam shape coefficients describing the illuminating beam. In addition it features applications used in many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances and the mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Furthermore, it provides various computer programs relevant to the content. In the last years many new developments took place so that a new edition became necessary. This new book now incorporates solutions for many more particle shapes and morphologies, various kinds of illuminating beams, and also to mechanical effects of light, whispering-gallery modes and resonances, and optical particle characterization techniques. In addition, the new book considers localized approximations, on the renewal of the finite series technique, on a new categorization of optical forces, and the study of Bessel beams, Mathieu beams, Laguerre-Gauss beams, frozen waves
Background in Maxwell's Electromagnetism and Maxwell's Equations.- Resolution of Special Maxwell's Equations.- Generalized Lorenz-Mie Theories in the Strict Sense, and other GLMTs.- Gaussian Beams, and Other Beams.- Finite Series.- Special Cases of Axisymmetric and Gaussian Beams.- The Localized Approximation and Localized Beam Models.- Applications, and Miscellaneous Issues.- Conclusion.
Format: Hardback, 522 pages, height x width: 235x155 mm, 153 Illustrations, black and white; VIII, 522 p. 153 illus.
Pub. Date: 18-Apr-2023
ISBN-13: 9783031251290
Author Biography
Goodreads reviews
The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th year) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable calculus. A wealth of included topics allows using the textbook in up to three sequential, one-semester ODE courses. Presentation emphasizes the development of practical solution skills by including a very large number of in-text examples and end-of-section exercises. All in-text examples, be they of a mathematical nature or a real-world examples, are fully solved, and the solution logic and flow are explained. Even advanced topics are presented in the same undergraduate-friendly style as the rest of the textbook. Completely optional interactive laboratory-type software is included with the textbook.