- 作 者：E.L. INCE
- 出 版 社：DOVER PUBLICATIONS
- 出版年份：2222
- ISBN：
- 标注页数：558 页
- PDF页数：564 页
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PART Ⅰ DIFFERENTIAL EQUATIONS IN THE REAL DOMAIN 3
Ⅰ.INTRODUCTORY 3
Ⅱ.ELEMENTARY METHODS OF INTEGRATION 16
Ⅲ.THE EXISTENCE AND NATURE OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS 62
Ⅳ.CONTINUOUS TRANSFORMATION-GROUPS 93
Ⅴ.THE GENERAL THEORY OF LINEAR DIFFERENTIAL EQUATIONS 114
Ⅵ.LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 133
Ⅶ.THE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS IN AN INFINITE FORM 158
Ⅷ.THE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS BY DEFINITE INTEGRALS 186
Ⅸ.THE ALGEBRAIC THEORY OF LINEAR DIFFERENTIAL SYSTEMS 204
Ⅹ.THE STURMIAN THEORY AND ITS LATER DEVELOPMENTS 223
Ⅺ.FURTHER DEVELOPMENTS IN THE THEORY OF BOUNDARY PROBLEMS 254
PART Ⅱ DIFFERENTIAL EQUATIONS IN THE COMPLEX DOMAIN 281
Ⅻ.EXISTENCE THEOREMs IN THE COMPLEX DOMAIN 281
ⅩⅢ.EQUATIONS OF THE FIRST ORDER BUT NOT OF THE FIRST DEGREE 304
ⅩⅣ.NON-LINEAR EQUATIONS OF HIGHER ORDER 317
ⅩⅤ.LINEAR EQUATIONS IN THE COMPLEX DOMAIN 356
ⅩⅥ.THE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS IN SERIES 396
ⅩⅦ.EQUATIONS WITH IRREGULAR SINGULAR POINTS 417
ⅩⅧ.THE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS BY METHODS OF CONTOUR INTEGRATION 438
ⅩⅨ.SYSTEMS OF LINEAR EQUATIONS OF THE FIRST ORDER 469
ⅩⅩ.CLASSIFICATION OF LINEAR DIFFERENTIAL EQUATIONS OF THE SECOND ORDER WITH RATIONAL COEFFICIENTS 494
ⅩⅪ.OSCILLATION THEOREMS IN THE COMPLEX DOMAIN 508
APPENDICES 529
A.HISTORICAL NOTE ON FORMAL METHODS OF INTEGRATION 529
B.NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS 540
C.LIST OF JOURNALS QUOTED IN FOOTNOTES TO THE TEXT 548
D.BIBLIOGRAPHY 551
INDEX OF AUTHORS 553
GENERAL INDEX 555