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Associated transforms for solution of nonlinear equations. (English) Zbl 0719.44003
Eight theorems involving the inverse of the multidimensional Laplace transform are established and examples given. These theorems have applications in the theory of nonlinear multivariable differential and integrodifferential equations with terms of mixed dimensionality.
MSC:
44A10 Laplace transform
44A30 Multiple integral transforms
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
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