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It supports the all major differential equations textbooks and is useful for study in Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations and Differential Equations. \u003cp\u003e\u003c\/p\u003eChapters include an Introduction to Modeling and Qualitative Methods, Classifications of First-Order Differential Equations, Linear Differential Equations, Variation of Parameters, Initial-Value Problems for Linear Differential Equations, Graphical and Numerical Methods for Solving First-Order Differential Equations, Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms, and more. \u003cp\u003e\u003c\/p\u003eFeatures: \u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eNEW to this edition: the new Schaum's app and website!\u003c\/li\u003e\n\u003cli\u003eNEW CHAPTERS include Autonomous Differential Equations and Qualitative Methods; Eigenvalues and Eigenvectors; three chapters dealing with Solutions of Systems of Autonomous Equations via Eigenvalues and Eigenvectors (real and distinct, real and equal, and complex conjugate Eigenvalues)\u003c\/li\u003e\n\u003cli\u003e20 problem-solving videos online\u003c\/li\u003e\n\u003cli\u003e563 solved problems\u003c\/li\u003e\n\u003cli\u003eOutline format provides a quick and easy review of differential equations\u003c\/li\u003e\n\u003cli\u003eClear, concise explanations of differential equations concepts\u003c\/li\u003e\n\u003cli\u003eHundreds of examples with explanations of key concepts\u003c\/li\u003e\n\u003cli\u003eSupports all major textbooks for differential equations courses\u003c\/li\u003e\n\u003cli\u003eAppropriate for the following courses: Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations, and Differential Equations \u003cp\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"McGraw-Hill Companies","offers":[{"title":"Default Title","offer_id":45787232239663,"sku":"9781264258826","price":25.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/2855\/6847\/files\/imageloader_afaecbae-033e-4c44-8c50-7bf1afeda3dd.jpg?v=1786148100"},{"product_id":"integral-methods-in-nonlinear-dynamics-of-systems","title":"Integral Methods in Nonlinear Dynamics of Systems","description":"\u003cp\u003eThis monograph presents an integral method for analysing the dynamic behaviour of nonlinear, non-stationary, and controlled systems. The method is based on the use of nonlinear integral inequalities to obtain new estimates for the norms of solutions and Lyapunov functions for the corresponding systems of differential equations of disturbed motion.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book consists of seven chapters. The first chapter establishes new bounds for solutions to ordinary and infinite systems of differential equations using nonlinear integral inequalities in pseudo-linear form. The second chapter studies the equations of disturbed motion based on new estimates of Lyapunov functions. Here, conditions are established for various types of motion boundedness, including the stability of coupled systems under initial and subsequent disturbances. The third chapter is devoted to polynomial systems, where variations of Lyapunov functions are used to derive conditions for stability and stabilisation of motion, including the analysis of the zero solution of systems with aftereffects.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eChapter 4 applies nonlinear integral inequalities to nonlinear systems with interval initial conditions, and studies the stabilisation of systems with multiple controls. Chapter 5 focuses on quasilinear systems with fractional derivatives, establishing conditions for boundedness and Lagrange stability. Chapter 6 introduces an integral method for time-scale dynamic equations with fractional derivatives, offering new tools for stability and boundedness analysis. The final chapter studies equilibrium stability in a model of confrontation between two countries and alliances, using Lyapunov functions and integral inequalities to determine conditions for stable equilibrium and changes in weapon levels.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"World Scientific Publishing Company","offers":[{"title":"Default Title","offer_id":45787232960559,"sku":"9789819817993","price":78.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/2855\/6847\/files\/imageloader_d6c3a516-46be-4183-ae9d-f5dd4b130190.jpg?v=1786148101"}],"url":"https:\/\/tssbooks.com\/collections\/books-nonfiction-math.oembed","provider":"tssbooks","version":"1.0","type":"link"}