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Displaying 21 – 27 of 27

Approximate solution of an inhomogeneous abstract differential equation

Emil Vitásek (2012)

Applications of Mathematics

Recently, we have developed the necessary and sufficient conditions under which a rational function $F (h A)$ approximates the semigroup of operators $exp (t A)$ generated by an infinitesimal operator $A$ . The present paper extends these results to an inhomogeneous equation $u^{'} (t) = A u (t) + f (t)$ .

Approximate solutions of abstract differential equations

Emil Vitásek (2007)

Applications of Mathematics

The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary differential equation are studied. The right-hand side of the differential equation under investigation contains an unbounded operator which is an infinitesimal generator of a strongly continuous semigroup of operators. Necessary and sufficient conditions are found for a rational function to approximate the given semigroup with high accuracy.

Currently displaying 21 – 27 of 27

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Displaying 21 – 27 of 27

Approximate solution of an inhomogeneous abstract differential equation

Approximate solutions of abstract differential equations

Approximation of solutions to retarded differential equations with applications to population dynamics.

Approximation structures and applications to evolution equations.

Approximations of solutions to retarded integrodifferential equations.

Asymptotically almost periodic and almost periodic solutions for a class of partial integro-differential equations.

Asymptotically almost periodic and almost periodic solutions for a class of evolution equations.

Currently displaying 21 – 27 of 27