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On estimating the local error of a numerical solution of a parametrized Cauchy problemOn estimating the local error of a numerical solution of a parametrized Cauchy problem
Solution of the spatial Tricomi problem for a singular mixed-type equation by the method of integral equations form and prove the unique solvability of the Tricomi problem for the mentioned equation. © 2011
The riemann boundary value problem on non-rectifiable arcs and the cauchy transform Cauchy integral over non-rectifiable arcs on the complex plane. We construct this integral
Cauchy problem for the Korteweg-de Vries equation in the case of a nonsmooth unbounded initial functionIn the strip Π = (-1, 0) × ℝ, we establish the existence of solutions of the Cauchy problem
Numerical solution of Cauchy problems with multiple poles of integer orderWe consider Cauchy problem for ordinary differential equation with solution possessing a sequence
On the regularity of solutions of the Cauchy problem for the Zakharov-Kuznetsov equation in Hölder normsThe problem of the interior regularity of generalized solutions of the Cauchy problem
Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing–hyperbolic-type equation. Also, for this equation, we investigate a Cauchy-type problem with a line of changing type
On the Cauchy problem for the generalized Kawahara equationWe consider global weak solutions of the Cauchy problem for the generalized Kawahara equation. We
The cauchy problem for equations with variable coefficients. Leray’s uniformizationIn this chapter we deal with the Cauchy problem for equations with variable coefficients. Of course
Singularities of the solution of the cauchy problemIn this chapter, we use the formula for the solution of the Cauchy problem in terms of the ramified
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