06458nam 22016935 450 991015474500332120190708092533.01-4008-8264-810.1515/9781400882649(CKB)3710000000631334(MiAaPQ)EBC4738758(DE-B1597)468000(OCoLC)954123778(OCoLC)999378913(DE-B1597)9781400882649(EXLCZ)99371000000063133420190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierContributions to the Theory of Nonlinear Oscillations (AM-45), Volume V /Lamberto Cesari, Solomon Lefschetz, J. LaSallePrinceton, NJ : Princeton University Press, [2016]©19601 online resource (300 pages) illustrationsAnnals of Mathematics Studies ;3250-691-07933-1 Includes bibliographical references.Frontmatter -- Preface -- Contents -- I. The Time Optimal Control Problem / La Salle, J. P. -- II. Continuous Dependence on a Parameter / Jarnik, J. / Kurzweil, J. -- III. Poincare's Perturbation Method and Topological Degree / Cronin, Jane -- IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points / Hale, Jack K. -- V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems / Hale, J. K. -- VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems / Cesari, Lamberto -- VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems / Stokes, Arnold -- VIII. Quadratic Differential Equations and Non-Associative Algebras / Markus, Lawrence -- IX. Sur Une Propriété De L'Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques / Reeb, Georges -- X. On Lagrange Stable Motions in the Neighborhood of Critical Points / Mendelson, Pinchas -- XI. The Local Theory of Piecewise Continuous Differential Equations / André, J. / Seibert, P. -- XII. Asymptotic Stability in 3-Space / Coleman, Courtney -- XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations / Figueiredo, Rui Pacheco de -- Appendix / Pinney, E.The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.Annals of mathematics studies ;no. 45.OscillationsAbsolute value.Abstract algebra.Affine plane.Affine space.Algebraic Method.Analytic function.Bifurcation theory.Big O notation.Canonical form.Cartesian coordinate system.Cauchy sequence.Characteristic exponent.Characteristic polynomial.Clockwise.Coefficient matrix.Coefficient.Complete theory.Complex conjugate.Complex number.Complex plane.Computation.Connected space.Continuous function.Control function (econometrics).Convex set.Corollary.Critical frequency.Curve.Degeneracy (mathematics).Degrees of freedom (statistics).Determinant.Differentiable function.Differentiable manifold.Differential equation.Dimension.Dimensional analysis.Divisor (algebraic geometry).Eigenvalues and eigenvectors.Elliptic function.Endomorphism.Equation.Equations of motion.Existence theorem.Existential quantification.Fixed point (mathematics).Floquet theory.Homeomorphism.Homogeneous function.Homotopy.Hyperplane.Hypersurface.Implicit function theorem.Interval (mathematics).Limit cycle.Limit point.Line element.Linear algebra.Linear differential equation.Linear map.Linear space (geometry).Linearity.Lipschitz continuity.Lyapunov stability.Manifold.Matrix function.Maxima and minima.Morphism.N-vector.Non-associative algebra.Nonlinear system.Optimal control.Orbital stability.Parameter.Parametrization.Periodic function.Piecewise.Probability.Quadratic differential.Quadratic function.Quadratic.Real projective plane.Real projective space.Scientific notation.Second derivative.Semicircle.Separatrix (mathematics).Sign (mathematics).Special case.Submanifold.Summation.Theorem.Theory.Topological dynamics.Topological space.Transpose.Two-dimensional space.Uniform convergence.Uniqueness theorem.Vector space.Zero of a function.Oscillations.531/.32Cesari Lamberto, LaSalle J., Lefschetz Solomon, DE-B1597DE-B1597BOOK9910154745003321Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V2788311UNINA