5203428
9783110189421
The basic idea of the homotopy method is as follows: in order to find a solution to a given equation (algebraic, differential, integral, integro-differential, operator, etc.) one constructs a one-parameter family of equations containing both this equation and some equation which has a known solution. This family constitutes a homotopy (or deformation) from the given equation to the new equation, and one tries to deform the solution of the latter with respect to the parameter to obtain a solution of the original equation.Emelyanov, Stanislav V. is the author of 'Homotopy of Extremal Problems Theory And Applications', published 2007 under ISBN 9783110189421 and ISBN 3110189429.
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