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Peano type theorem for abstract parabolic equationsWe consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach
The Riemann method for equations with leading partial derivative in ℝ nWe give a version of the Riemann method for solving the Cauchy problem for a linear equation
On the p-fold Well-posedness of Higher Order Abstract Cauchy Problem-order
abstract Cauchy problem. These conditions are expressed in terms of decay of some auxiliary pencils
derived
Cauchy integral and singular integral operator over closed Jordan curves the boundedness of the singular integral operator as well as the boundary behavior of the Cauchy type integral
Cauchy integral and singular integral operator over closed Jordan curves operator as well as the boundary behavior of the Cauchy type integral. These results are of significance
On the Cauchy Problem for the Biharmonic Equation of
the Cauchy problem for the biharmonic equation in the domain G from its known values on the smooth
part
Long-time behaviour of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities to the Cauchy problem for quasilinear degenerate parabolic equations with nonpower nonlinearity. The result
ABOUT THE SOLVABILITY OF THE CAUCHY PROBLEM FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONSThe Cauchy problem for a nonlinear functional-differential equation of general type with Volterra
On the relationship between the integrated cosine function and the operator Bessel function Operator Yk (t) of the Cauchy problem
Determination of the polynomial uniformizing a given compact Riemann surface of the required polynomial are found by using the solutions of the Cauchy problem for the system of ordinary
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