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Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein
| Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein |
| Autore | Bernstein Dorothy L. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (245 pages) |
| Disciplina | 517.38 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Existence theorems |
| Soggetto non controllato |
0O
3N Addition Analytic function Applied mathematics Big O notation Biharmonic equation Boundary value problem C0 Calculation Cartesian coordinate system Cauchy problem Characteristic equation Closed-form expression Coefficient Computation Computational problem Constructive proof Continuous function (set theory) Continuous function Convex set Coordinate system Derivative Determination Differential equation Dirichlet problem Elliptic partial differential equation Empty set Equation Existence theorem Existential quantification Explicit formulae (L-function) Exterior (topology) Finite difference Flattening Formal scheme Fourier transform Fundamental solution Geometry Green's function Harmonic function Implicit function theorem Implicit function Improper integral Initial value problem Integral equation Interval (mathematics) Laplace transform Limit of a sequence Linear combination Linear differential equation Linear equation Mathematician Method of characteristics Nonlinear system Numerical analysis Ordinary differential equation Parameter Partial derivative Partial differential equation Pessimism Plane curve Power series Probability of success Probability Pure mathematics Radius of convergence Real number Real variable Requirement Scientific notation Second derivative Series (mathematics) Simultaneous equations Special case Terminology Theorem Theory Three-dimensional space (mathematics) Truncation error Uniform convergence Upper and lower bounds Variable (mathematics) |
| ISBN | 1-4008-8222-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword / Engstrom, H. T. -- Preface / Tompkins, C. -- Table of Contents -- Annals of Mathematics Studies -- I. Introduction -- II. The Initial Value Problem and the Problem of Cauchy for First Order Differential Equations -- III. Second Order Differential Equations -- IV. Partial Differential Equations of Order n > 2 -- Bibliography |
| Record Nr. | UNINA-9910154748303321 |
Bernstein Dorothy L.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Dwork Bernard
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
| Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 517.38 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential equations |
| Soggetto non controllato |
Abscissa
Absolute value Addition Adjoint Algebraic topology Antiderivative Approximation Canonical form Cartesian coordinate system Characteristic equation Characteristic exponent Circumference Coefficient matrix Coefficient Compact space Complex number Complex plane Complex-valued function Condition index Conformal map Connected space Conservation of energy Continuous function Convex hull Coordinate system Corollary Degrees of freedom (statistics) Derivative Determinant Diagram (category theory) Differentiable function Differential equation Dimension Dissipation Eigenvalues and eigenvectors Empty set Entire function Equation Euclidean geometry Euclidean space Existence theorem Existential quantification Exterior (topology) Holomorphic function Homogeneous polynomial Inflection point Initial point Integer Intersection (set theory) Jacobian matrix and determinant Jordan curve theorem Limit point Limit set Line at infinity Linear differential equation Linear map Lipschitz continuity Lyapunov stability Mathematical physics Mathematician Matrix function Maximal set Monotonic function Nonlinear system Notation Open set Parameter Parametric equation Partial derivative Periodic function Phase space Polar coordinate system Polynomial Power series Projective geometry Projective plane Quadratic Radius of convergence Rectangle Regular representation Saddle point Separatrix (mathematics) Set theory Simple polygon Solomon Lefschetz Special case Spherical cap Stereographic projection Subset Summation Theorem Theory Topological property Toroid Two-dimensional space Uniform convergence Upper and lower bounds Variable (mathematics) Vector space Zero of a function |
| ISBN | 1-4008-8194-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. SOME PRELIMINARY QUESTIONS -- CHAPTER II. DIFFERENTIAL EQUATIONS -- CHAPTER III. LINEAR SYSTEMS -- CHAPTER IV. CRITICAL POINTS AND PERIODIC MOTIONS QUESTIONS OF STABILITY -- CHAPTER V. TWO DIMENSIONAL SYSTEMS -- CHAPTER VI. APPLICATION TO CERTAIN EQUATIONS' OF THE SECOND ORDER -- INDEX |
| Record Nr. | UNINA-9910154749803321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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