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Das, P. C.; Sharma, R. R.

Existence and stability of measure differential equations. (English) Zbl 0241.34070

Czech. Math. J. 22(97), 145-158 (1972).
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Cited in 1 Review
Cited in 46 Documents

MSC:

34G99 Differential equations in abstract spaces
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
46F10 Operations with distributions and generalized functions
46G05 Derivatives of functions in infinite-dimensional spaces
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References:

[1] Schmaedeke W. W.: Optimal Control Theory for Nonlinear Vector Differential Equations Containing Measures. J. SIAM Control, 3 (1965), pp. 231-280. · Zbl 0161.29203 · doi:10.1137/0303019
[2] Das P. C., Sharma R. R.: On Optimal Controls for Measure Delay-Differentsial Equations. J. SIAM Control, 9 (1971), pp. 43-61. · Zbl 0283.49003 · doi:10.1137/0309005
[3] Barbashin E. A.: On Stability with Respect to Impulsive Perturbations. Differentsial’nye Uravneniya, Vol. 2, No. 7, (1966), pp. 863-871. · Zbl 0188.15205
[4] Zabalishchin S. T.: Stability of Generalized Processes. Differential’nye Uravneniya, Vol. 2, No. 7 (1966), pp. 872-881.
[5] Lakshmikantham V., and Leela S.: Differential and Integral Inequalities. Theory and Applications, Vol. 1, Academic Press, New York, 1969. · Zbl 0177.12403
[6] Yoshizawa T.: Stability Theory by Liapunov’s Second Method. Math. Soc. Japan, 1966. · Zbl 0144.10802
[7] Rudin W.: Real and Complex Analysis. McGraw-Hill, New York, 1966. · Zbl 0142.01701
[8] Munroe M. E.: Introduction to Measure and Integration. Addison-Wesley, Reading, Massachusetts, 1953. · Zbl 0050.05603
[9] Yosida K.: Functional Analysis. Springer-Verlag, Berlin, Heidelberg, New York, 1968. · Zbl 0152.32102
[10] Dunford N., and Schwartz J. T.: Linear Operators, Part I: General Theory. Interscience, New York, 1964. · Zbl 0084.10402
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