07738nam 22018495 450 991015475020332120190708092533.01-4008-8217-610.1515/9781400882175(CKB)3710000000622810(MiAaPQ)EBC4738678(DE-B1597)467987(OCoLC)954124134(OCoLC)999355040(DE-B1597)9781400882175(EXLCZ)99371000000062281020190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierContributions to the Theory of Nonlinear Oscillations (AM-36), Volume III /Solomon LefschetzPrinceton, NJ : Princeton University Press, [2016]©19561 online resource (300 pages) illustrationsAnnals of Mathematics Studies ;3410-691-07911-0 Includes bibliographical references.Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- BackmatterThe description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III, will be forthcoming.Annals of mathematics studies ;no. 36.OscillationsAddition.Almost periodic function.Analytic function.Analytic manifold.Asymptote.Asymptotic analysis.Banach space.Basis (linear algebra).Betti number.Big O notation.Boundary (topology).Boundary value problem.Boundedness.Calculation.Cartesian coordinate system.Characteristic equation.Characteristic exponent.Coefficient matrix.Coefficient.Combination.Complex number.Complex space.Connected space.Continuous function.Counterexample.Curve.Degeneracy (mathematics).Degrees of freedom (statistics).Derivative.Determinant.Differentiable function.Differential equation.Dissipative system.Eigenvalues and eigenvectors.Equation.Existence theorem.Existential quantification.Exterior (topology).First variation.Fixed-point theorem.Fundamental theorem.Geometry.Half-space (geometry).Homeomorphism.Homotopy.Hyperbolic sector.Identity matrix.Imaginary number.Implicit function.Infimum and supremum.Integral curve.Interior (topology).Intersection (set theory).Interval (mathematics).Invertible matrix.Jacobian matrix and determinant.Jordan curve theorem.Limit cycle.Limit point.Limit set.Line at infinity.Linear approximation.Linear differential equation.Linear equation.Linear map.Lipschitz continuity.Matrix (mathematics).Monotonic function.N-vector.Nonlinear system.Ordinary differential equation.Parameter.Parametric equation.Parametrization.Partial derivative.Periodic function.Phase plane.Phase space.Point at infinity.Polynomial.Projective plane.Quantity.Saddle point.Scientific notation.Second derivative.Separatrix (mathematics).Sign (mathematics).Simultaneous equations.Singular perturbation.Special case.Submanifold.Summation.Tangent.Taylor series.Theorem.Theory.Topology.Vector field.Velocity.Zero of a function.Oscillations.531.3Lefschetz Solomon, 12523Barocio Samuel, ctbhttps://id.loc.gov/vocabulary/relators/ctbDiliberto S. P., ctbhttps://id.loc.gov/vocabulary/relators/ctbDiliberto Stephen P., ctbhttps://id.loc.gov/vocabulary/relators/ctbGomory Ralph E., ctbhttps://id.loc.gov/vocabulary/relators/ctbHaas Felix, ctbhttps://id.loc.gov/vocabulary/relators/ctbHaas Violet B., ctbhttps://id.loc.gov/vocabulary/relators/ctbHufford G., ctbhttps://id.loc.gov/vocabulary/relators/ctbHufford George, ctbhttps://id.loc.gov/vocabulary/relators/ctbKoosis Paul, ctbhttps://id.loc.gov/vocabulary/relators/ctbKyner Walter T., ctbhttps://id.loc.gov/vocabulary/relators/ctbMarcus M. D., ctbhttps://id.loc.gov/vocabulary/relators/ctbMarcus Marvin D., ctbhttps://id.loc.gov/vocabulary/relators/ctbMarkus L., ctbhttps://id.loc.gov/vocabulary/relators/ctbPinney Edmund, ctbhttps://id.loc.gov/vocabulary/relators/ctbSeifert George, ctbhttps://id.loc.gov/vocabulary/relators/ctbDE-B1597DE-B1597BOOK9910154750203321Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III2788783UNINA