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On a class of differential equations of parabolic type with impulsive action
2008
Existence and uniqueness theorems are obtained for semilinear differential equations of parabolic type with impulsive action in Banach spaces. These equations contain an operator, in general, noninvertible, multiplying the time derivative. The results are applied to partial differential equations with impulsive action.
Keywords:
- Examples of differential equations
- Mathematical analysis
- Stochastic partial differential equation
- Mathematical optimization
- FTCS scheme
- Mathematics
- C0-semigroup
- Numerical partial differential equations
- Separable partial differential equation
- Parabolic partial differential equation
- Symbol of a differential operator
- Differential algebraic equation
- Exponential integrator
- Elliptic partial differential equation
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