Principles of differential and integral equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Chelsea
1977
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| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | XII, 205 S. |
| ISBN: | 0828402957 |
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| 650 | 4 | |a Équations intégrales | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Integral equations | |
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Record in the Search Index
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Titel: Principles of differential and integral equations
Autor: Corduneanu, Constantin
Jahr: 1977
Contents Introduction 1. Some Elementary Methods The Linear Equation of the First Order 1 The Equation with Separable Variables ! Exact Differential Equations I The Uniqueness Problem: An Example | Some Integral Inequalities i Problems 2. Existence Theory for Differential Equations The First-Order Equation | First-Order Differential Systems Equations and Systems of Higher Order ! Peano Existence Theorem | A Uniqueness Theorem j Problems 3. Some Global Problems for Ordinary Differential Equations Statement of the Problems I Global Uniqueness I Global Existence and the Behavior of Saturated Solutions i Dependence of Solutions on Initial Values | Differential Inequalities and the Comparison Method | A Criterion of Global Existence i Problems
Contents xii 4 . Some Special Classes of Differential Systems and Equations 57 Linear Systems: Generalities | Linear Homogeneous Systems I Nonhomogeneous Systems | Linear Equations of Higher Order | Autonomous Systems | Linear Systems and Equations with Constant Coefficients | Problems 5 . Stability Theory of Ordinary Differential Systems 85 Definitions and Examples | Stability of Linear Systems I Stability in the First Approximation | Stability Theorems by Comparison Method | Further Stability Results | Stability of Automatic Control Systems | Problems 6. Volterra Integral Equations 119 Existence and Uniqueness of Solution I An Existence Theorem I The Linear Equation | The First-Kind Linear Equation I Some Problems on the Half-Axis | Problems 7 . Fredholm Theory of Linear Integral Equations 133 The Resolvent Kernel | The Entire Functions of Fredholm and Their Applications | A Glimpse of Hilbert Space Theory I Eigenvalues, Eigenfunctions and Adjoint Equations | Problems 8. Theory of Self-Adjoint Integral Equations and Some Applications 155 Some Properties of an Integral Operator | The Existence of Eigenvalues | The Hilbert-Schmidt Expansion Theorem | Complete Kernels and Systems | The Sturm-Liouville Problem | Reduction to an Integral Equation: The First Case | Reduction to an Integral Equation: The Second Case 1 Problems 9 . Miscellanea (Nice Things) 173 Maximum and Minimum Solutions of Scalar Differential Equations | A Theorem of Massera | An Oscillation Theorem I A Formula of Picone and Its Consequences | Liénard’s Equation | Differential Systems Without Uniqueness | Abel’s Integral Equation References 195 Index 203
Titel: Principles of differential and integral equations
Autor: Corduneanu, Constantin
Jahr: 1977
Contents Introduction 1. Some Elementary Methods The Linear Equation of the First Order 1 The Equation with Separable Variables ! Exact Differential Equations I The Uniqueness Problem: An Example | Some Integral Inequalities i Problems 2. Existence Theory for Differential Equations The First-Order Equation | First-Order Differential Systems Equations and Systems of Higher Order ! Peano Existence Theorem | A Uniqueness Theorem j Problems 3. Some Global Problems for Ordinary Differential Equations Statement of the Problems I Global Uniqueness I Global Existence and the Behavior of Saturated Solutions i Dependence of Solutions on Initial Values | Differential Inequalities and the Comparison Method | A Criterion of Global Existence i Problems
Contents xii 4 . Some Special Classes of Differential Systems and Equations 57 Linear Systems: Generalities | Linear Homogeneous Systems I Nonhomogeneous Systems | Linear Equations of Higher Order | Autonomous Systems | Linear Systems and Equations with Constant Coefficients | Problems 5 . Stability Theory of Ordinary Differential Systems 85 Definitions and Examples | Stability of Linear Systems I Stability in the First Approximation | Stability Theorems by Comparison Method | Further Stability Results | Stability of Automatic Control Systems | Problems 6. Volterra Integral Equations 119 Existence and Uniqueness of Solution I An Existence Theorem I The Linear Equation | The First-Kind Linear Equation I Some Problems on the Half-Axis | Problems 7 . Fredholm Theory of Linear Integral Equations 133 The Resolvent Kernel | The Entire Functions of Fredholm and Their Applications | A Glimpse of Hilbert Space Theory I Eigenvalues, Eigenfunctions and Adjoint Equations | Problems 8. Theory of Self-Adjoint Integral Equations and Some Applications 155 Some Properties of an Integral Operator | The Existence of Eigenvalues | The Hilbert-Schmidt Expansion Theorem | Complete Kernels and Systems | The Sturm-Liouville Problem | Reduction to an Integral Equation: The First Case | Reduction to an Integral Equation: The Second Case 1 Problems 9 . Miscellanea (Nice Things) 173 Maximum and Minimum Solutions of Scalar Differential Equations | A Theorem of Massera | An Oscillation Theorem I A Formula of Picone and Its Consequences | Liénard’s Equation | Differential Systems Without Uniqueness | Abel’s Integral Equation References 195 Index 203 |
| any_adam_object | 1 |
| author | Corduneanu, Constantin 1928-2018 |
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| callnumber-first | Q - Science |
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| callnumber-raw | QA371 |
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| classification_rvk | SK 640 |
| ctrlnum | (OCoLC)2818263 (DE-599)BVBBV001944225 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2025-04-04T10:02:23Z |
| institution | BVB |
| isbn | 0828402957 |
| language | English |
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| physical | XII, 205 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Chelsea |
| record_format | marc |
| spelling | Corduneanu, Constantin 1928-2018 Verfasser (DE-588)138962936 aut Principles of differential and integral equations C. Corduneanu 2. ed. New York, NY Chelsea 1977 XII, 205 S. txt rdacontent n rdamedia nc rdacarrier Équations différentielles Équations intégrales Differential equations Integral equations Integralgleichung (DE-588)4027229-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Integralgleichung (DE-588)4027229-1 s DE-604 Differentialgleichung (DE-588)4012249-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001267289&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001267289&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Corduneanu, Constantin 1928-2018 Principles of differential and integral equations Équations différentielles Équations intégrales Differential equations Integral equations Integralgleichung (DE-588)4027229-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4012249-9 (DE-588)4151278-9 |
| title | Principles of differential and integral equations |
| title_auth | Principles of differential and integral equations |
| title_exact_search | Principles of differential and integral equations |
| title_full | Principles of differential and integral equations C. Corduneanu |
| title_fullStr | Principles of differential and integral equations C. Corduneanu |
| title_full_unstemmed | Principles of differential and integral equations C. Corduneanu |
| title_short | Principles of differential and integral equations |
| title_sort | principles of differential and integral equations |
| topic | Équations différentielles Équations intégrales Differential equations Integral equations Integralgleichung (DE-588)4027229-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Équations différentielles Équations intégrales Differential equations Integral equations Integralgleichung Differentialgleichung Einführung |
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