Equations with transformed argument: an algebraic approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier [u.a.]
1973
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 354 S. Ill. |
| ISBN: | 0444410783 |
Staff View
MARC
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| 100 | 1 | |a Przeworska-Rolewicz, Danuta |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Equations with transformed argument |b an algebraic approach |c by Danuta Przeworska-Rolewicz |
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier [u.a.] |c 1973 | |
| 300 | |a XIV, 354 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Opérateurs, Théorie des | |
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| 650 | 4 | |a Équations différentielles - Solutions numériques | |
| 650 | 4 | |a Équations intégrales - Solutions numériques | |
| 650 | 4 | |a Differential equations |x Numerical solutions | |
| 650 | 4 | |a Equations |x Numerical solutions | |
| 650 | 4 | |a Integral equations |x Numerical solutions | |
| 650 | 4 | |a Operator theory | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface xiv
Chapter I. Preliminaries 1
1. Linear Spaces. Linear Rings 1
2. Linear Operators. Perturbations 7
3. Algebras of Linear Operators. Conjugate Operators and 3 5-Operators . . 13
4. Banach Spaces 20
5. The Volterra Integral Equation 34
Chapter II. Algebraic and almost Algebraic Operators 40
1. Hermite Interpolation Formula. Partition of Unity. Properties of Mh Roots
of Unity 40
2. Algebraic and almost Algebraic Elements 43
3. Regularization in Algebraic and almost Algebraic Elements 49
4. Algebraic and almost Algebraic Operators 54
5. Equations with Coefficients Commuting with an Algebraic Operator ... 58
6. Involutions of Order N 61
7. Multi-Involutions 66
Chapter III. Equations with Operators Permuting an Involution of
Order N 73
1. Equations with Operators Anticommuting with Involution 73
2. Equations with Polynomials in an Operator Anticommuting with an Involution 82
3. Homogeneous Equation with a Permuting Operator 88
4. Non-Homogeneous Equations with a Permuting Operator 95
Chapter IV. Algebraic Derivative and Abstract Differential Equations 101
1. Algebraic Derivative in Linear Spaces 101
2. Differential Equations with Constant Coefficients in Linear Spaces .... 106
3. Differential Equations with Algebraic Operators in Linear Spaces 111
4. Algebraic Derivative and Differential Equations in a Linear Ring .... 118
5. Differential Equations with Algebraic Operators in a Linear Ring .... 124
Chapter V. Periodic Solutions of Differential-Difference Equations 126
1. Ordinary Linear Differential-Difference Equations with Constant Coefficients 126
2. Ordinary Linear Differential-Difference Equations with Periodic Coefficients 132
3. Perturbations of Deviations Preserving Periodic Solutions of Linear Differen¬
tial-Difference Equations 139
4. Partial Linear Differential-Difference Equations with Constant and Periodic
Coefficients 146
5. Non-Linear Differential-Difference Equations 148
ix
CONTENTS
Chapter VI. Exponential-Periodic Solutions of Differential-Difference
Equations 153
1. Ordinary Linear Differential-Difference Equations with Constant and Periodic
Coefficients 153
2. Non-Linear Differential-Difference Equations 158
Chapter VII. Linear Differential Equations with Reflection and Ro¬
tation of Argument 164
1. Ordinary Linear Differential-Equations with Reflection 164
2. Ordinary Linear Differential Equations with Rotation 170
Chapter VIII. Functional-Differential Equations of Carleman Type 177
1. Properties of Functions satisfying Carleman Condition of Order m 2 . . 178
2. First Order Linear Functional-Differential Equations of Carleman Type . . 184
3. Higher Order Linear Fi nctional-Differential Equations of Carleman Type . . 188
4. Non-Linear Functional-Differential Equations of Carleman Type 190
Chapter IX. Optimal Control Problems with Time Delays .... 193
1. Periodic Linear Problems 195
2. Periodic Non-Linear Problems 198
3. Problems with Damping 201
4. Almost Periodic Linear Problems 204
5. Almost Periodic Non-Linear Problems 207
Chapter X. Boundary Problems with Transformed Argument ... 210
1. Boundary Problems for the Laplace Equation 210
2. Boundary Problems for the Heat Equation 217
3. Boundary Problems for the Wave Equation 219
Ckh a p t e r XI. Integral Equations with Transformed Argument ... 221
1. Integral and Integro-Differential Equations with Reflection 221
2. Periodic Solutions of Linear Integro-Diflerential-Difference Equations of
Fredholm Type 225
3. Periodic Solutions of Non-Linear Integro-Differential-Difference Equations of
Fredholm Type 229
4. Periodic Solutions of Linear Integro-Differential-Difterence Equations of Vol-
terra Type 232
5. Exponential-Periodic Solutions of Integro-Differential-Difference Equations
of Fredholm Type 236
Chapter XII. Singular Integral Equations of one Variable 241
1. Cauchy and Hilbert Singular Integrals 241
2. Invoiutionary Cases of Singular Integral Equations 248
3. Almost Invoiutionary Cases of Singular Integral Equations 256
4. Singular Integral Equations in the Case Al — A = 0 258
Chapter XIII. Singular Integral Equations in one Variable with Trans¬
formed Argument 263
1. Singular Integral Equations with Reflection 263
2. Singular Integral Equations with Rotation 269
3. Singular Integral Equations of Carleman Type 272
CONTENTS xj
Chapter XIV. Singular Integral Equations in Several Variables . . . 277
1. Singular Integral Equations in Polycylindrical Domains 277
2. Singular Integral Equations with the Bicadze Operator 280
Chapter XV. Wiener-Hopf Equations, Generalized Abel Equations
and Equations with the Fourier Transform and Similar Trans¬
formations 282
1. The Fourier Transform in L2(R ) 282
2. The Wiener-Hopf Integral and Integro-Differential Equations 288
3. Generalized Abel Equations 293
4. Equations with the Fourier Transform, the Sine and Cosine Fourier Trans¬
form and the Hankel Transform 297
Chapter XVI. Cyclic Functional Equations 299
1. Cyclic Functional Equations 299
2. Multicyclic Functional Equations 302
Chapter XVII. Some Miscellaneous Topics 305
1. Matrix and Operator Equations 305
B-l
2. Polyharmonic Solutions of the Equation 2 akAku = v 308
3. Characterization of Commutators with Singular Integral Operators .... 314
Bibliography 317
Name Index 341
Subject Index 345
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:48:59Z |
| institution | BVB |
| isbn | 0444410783 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001754914 |
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| physical | XIV, 354 S. Ill. |
| psigel | HUB-ZB011201102 |
| publishDate | 1973 |
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| publisher | Elsevier [u.a.] |
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| spelling | Przeworska-Rolewicz, Danuta Verfasser aut Equations with transformed argument an algebraic approach by Danuta Przeworska-Rolewicz Amsterdam [u.a.] Elsevier [u.a.] 1973 XIV, 354 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathématiques ram Opérateurs, Théorie des Équations - Solutions numériques Équations différentielles - Solutions numériques Équations intégrales - Solutions numériques Differential equations Numerical solutions Equations Numerical solutions Integral equations Numerical solutions Operator theory Gleichung (DE-588)4021246-4 gnd rswk-swf Gleichung (DE-588)4021246-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754914&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Przeworska-Rolewicz, Danuta Equations with transformed argument an algebraic approach Mathématiques ram Opérateurs, Théorie des Équations - Solutions numériques Équations différentielles - Solutions numériques Équations intégrales - Solutions numériques Differential equations Numerical solutions Equations Numerical solutions Integral equations Numerical solutions Operator theory Gleichung (DE-588)4021246-4 gnd |
| subject_GND | (DE-588)4021246-4 |
| title | Equations with transformed argument an algebraic approach |
| title_auth | Equations with transformed argument an algebraic approach |
| title_exact_search | Equations with transformed argument an algebraic approach |
| title_full | Equations with transformed argument an algebraic approach by Danuta Przeworska-Rolewicz |
| title_fullStr | Equations with transformed argument an algebraic approach by Danuta Przeworska-Rolewicz |
| title_full_unstemmed | Equations with transformed argument an algebraic approach by Danuta Przeworska-Rolewicz |
| title_short | Equations with transformed argument |
| title_sort | equations with transformed argument an algebraic approach |
| title_sub | an algebraic approach |
| topic | Mathématiques ram Opérateurs, Théorie des Équations - Solutions numériques Équations différentielles - Solutions numériques Équations intégrales - Solutions numériques Differential equations Numerical solutions Equations Numerical solutions Integral equations Numerical solutions Operator theory Gleichung (DE-588)4021246-4 gnd |
| topic_facet | Mathématiques Opérateurs, Théorie des Équations - Solutions numériques Équations différentielles - Solutions numériques Équations intégrales - Solutions numériques Differential equations Numerical solutions Equations Numerical solutions Integral equations Numerical solutions Operator theory Gleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754914&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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