#abstract_differential_equation
Abstract differential equation
In mathematics, an abstract differential equation is a differential equation in which the unknown function and its derivatives take values in some generic abstract space. Equations of this kind arise e.g. in the study of partial differential equations: if to one of the variables is given a privileged position and all the others are put together, an ordinary "differential" equation with respect to the variable which was put in evidence is obtained. Adding boundary conditions can often be translated in terms of considering solutions in some convenient function spaces.
Thu 12th
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Abstract differential equation Differential equation Matrix differential equation Equation Heat equation Numerical methods for partial differential equations Differential-algebraic system of equations Differential calculus List of dynamical systems and differential equations topics Functional differential equation
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