An abstract measure differential equation. (English) Zbl 0213.36201
Summary: An abstract measure differential equation is introduced as a generalization of ordinary differential equations and measure differential equations. The existence and extension of solutions of this equation are considered.
MSC:
| 34G20 | Nonlinear differential equations in abstract spaces |
References:
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| [2] | Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers, Ltd., London, 1958. · Zbl 0084.10402 |
| [3] | Walter Rudin, Real and complex analysis, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. · Zbl 0142.01701 |
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| [5] | P. C. Das and R. R. Sharma, Existence and stability of measure differential equations, Czechoslovak Math. J. 22(97) (1972), 145 – 158. · Zbl 0241.34070 |
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