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Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle
Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (300 pages) : illustrations
Disciplina 531/.32
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Absolute 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
ISBN 1-4008-8264-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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.
Record Nr. UNINA-9910154745003321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
Autore Dwork Bernard
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (349 pages) : illustrations
Disciplina 515/.55
Collana Annals of Mathematics Studies
Soggetto topico H-functions
p-adic analysis
Soggetto non controllato Adjoint
Algebraic Method
Algebraic closure
Algebraic number field
Algebraic number theory
Algebraic variety
Algebraically closed field
Analytic continuation
Analytic function
Argument principle
Arithmetic
Automorphism
Bearing (navigation)
Binomial series
Calculation
Cardinality
Cartesian coordinate system
Cauchy sequence
Cauchy's theorem (geometry)
Coefficient
Cohomology
Commutative ring
Complete intersection
Complex analysis
Conjecture
Density theorem
Differential equation
Dimension (vector space)
Direct sum
Discrete valuation
Eigenvalues and eigenvectors
Elliptic curve
Equation
Equivalence class
Estimation
Existential quantification
Exponential function
Exterior algebra
Field of fractions
Finite field
Formal power series
Fuchs' theorem
G-module
Galois extension
Galois group
General linear group
Generic point
Geometry
Hypergeometric function
Identity matrix
Inequality (mathematics)
Intercept method
Irreducible element
Irreducible polynomial
Laurent series
Limit of a sequence
Linear differential equation
Lowest common denominator
Mathematical induction
Meromorphic function
Modular arithmetic
Module (mathematics)
Monodromy
Monotonic function
Multiplicative group
Natural number
Newton polygon
Number theory
P-adic number
Parameter
Permutation
Polygon
Polynomial
Projective line
Q.E.D.
Quadratic residue
Radius of convergence
Rational function
Rational number
Residue field
Riemann hypothesis
Ring of integers
Root of unity
Separable polynomial
Sequence
Siegel's lemma
Special case
Square root
Subring
Subset
Summation
Theorem
Topology of uniform convergence
Transpose
Triangle inequality
Unipotent
Valuation ring
Weil conjecture
Wronskian
Y-intercept
ISBN 1-4008-8254-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE / Dwork, B. -- INTRODUCTION -- LIST OF SYMBOLS -- CHAPTER I. VALUED FIELDS -- CHAPTER II. ZETA FUNCTIONS -- CHAPTER III. DIFFERENTIAL EQUATIONS -- CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS -- CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS -- CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY -- CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE -- CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY -- APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS -- APPENDIX II. ARCHIMEDEAN ESTIMATES -- APPENDIX III. CAUCHY'S THEOREM -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154744303321
Dwork Bernard  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui