Bulletin of the American Mathematical Society

MathSciNet review: 1567545
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Book Information:

Authors: S. G. Pandit and S. G. Deo
Title: Differential systems involving impulses
Additional book information: Lecture Notes in Mathematics, Vol. 954, Springer-Verlag, Berlin, 1982, vi + 102 pp., $8.00. ISBN 3-5401-1606-0.

1.

C. Carathéodory, Vorlesungen über reele Funktionen, Leipzig and Berlin, 1918.

Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338

P. C. Das and R. R. Sharma, On optimal controls for measure delay-differential equations, SIAM J. Control 9 (1971), 43–61. MR 0274898

P. C. Das and R. R. Sharma, Existence and stability of measure differential equations, Czechoslovak Math. J. 22(97) (1972), 145–158. MR 304815

A. F. Filippov, Differential equations with discontinuous right-hand side, Mat. Sb. (N.S.) 51 (93) (1960), 99–128 (Russian). MR 0114016

Irmgard Flügge-Lotz, Discontinuous automatic control, Princeton University Press, Princeton, N. J., 1953. MR 0059439

Otomar Hájek, Discontinuous differential equations. I, II, J. Differential Equations 32 (1979), no. 2, 149–170, 171–185. MR 534546, DOI 10.1016/0022-0396(79)90056-1

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E. B. Lee and L. Markus, Foundations of optimal control theory, John Wiley & Sons, Inc., New York-London-Sydney, 1967. MR 0220537

E. J. McShane, Stochastic calculus and stochastic models, Probability and Mathematical Statistics, Vol. 25, Academic Press, New York-London, 1974. MR 0443084

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J. C. Maxwell, On governors, Proc. Roy. Soc. 100 (1868); The scientific papers of James Clerk Maxwell, Vol. 2, Dover, New York, n.d., pp. 105-120.

L. S. Pontrjagin, On some differential games, Dokl. Akad. Nauk SSSR 156 (1964), 738–741 (Russian). MR 0184771

T. Ważewski, On an optimal control problem, Differential Equations and Their Applications (Proc. Conf., Prague, 1962), Publ. House Czech. Acad. Sci., Prague; Academic Press, New York, 1965, pp. 229–242. MR 0201758

1.

C. Carathéodory, Vorlesungen über reele Funktionen, Leipzig and Berlin, 1918.

2.

E. A. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955. MR 0069338

3.

P. C. Das and R. R. Sharma, On optimal controls for measure delay-differential equations, SIAM J. Control 9 (1971), 43-61. MR 274898

4.

P. C. Das and R. R. Sharma, Existence and stability of measure differential equations, Czechoslovak. Math. J. 22 (97) (1972), 145-158. MR 304815

5.

A. F. Filippov, Differential equations with discontinuous right-hand side, Mat. Sb. 51 (1960). (Russian) MR 114016

6.

I. Flügge-Lotz, Discontinuous automatic control, Princeton Univ. Press, Princeton, 1953. MR 59439

7.

O. Hájek, Discontinuous differential equations. I, II, J. Differential Equations 32 (1979), 149-185. MR 534546

8.

R. Isaacs, Differential games, Wiley, New York, 1965 (1967). MR 210469

9.

E. B. Lee and L. Markus, Foundations of optimal control theory, Wiley, New York, 1967. MR 220537

10.

E. J. McShane, Stochastic calculus and stochastic models, Academic Press, New York, 1974. MR 443084

11.

J. C. Maxwell, On governors, Proc. Roy. Soc. 100 (1868); The scientific papers of James Clerk Maxwell, Vol. 2, Dover, New York, n.d., pp. 105-120.

12.

L. S. Pontrjagin, On certain differential games, Dokl. Akad. Nauk. SSSR 156 (1964), 738-741. (Russian) MR 184771

13.

T. Ważewski, On an optimal control problem; Differential Equations and Their Applications, (Proc. Prague Equadiff Conf., 1962), Publ. Czechoslovak. Acad. Sci. 1963, pp. 229-242. MR 201758