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To define the Coleman class of a differential of the second kind ω we use Coleman’s p -adic integration [Co], [Co-dS].. (The star is the union of the vertex with the open
[6] contains some theorems on the existence and uniqueness of solutions of singular Cauchy–Nicoletti problems for systems of ordinary differential equations.. We note that
The theorem on expansion of an arbitrary H¨older class function in eigen functions of the in- tegral equation depending on both the parameter and the singular operator is proved..
The asymptotic behavior of the singular and entropy numbers is established for the Erdelyi–K¨ober and Hadamard integral operators (see, e.g., [15]) acting in weighted L 2 spaces...
The mapping properties of Cauchy singular integrals defined on the Lyapunov curve and on curves of bounded rotation are also investigated within the framework of the
A new proof based on local integral manifold theory and the implicit function theorem is given for the classical result that a simple periodic orbit of the equation above
The aim of this paper is to analyze the properties of the solution map to the Cauchy problem for the wave map equation with a source term, when the target is the hyper- boloid H 2
The integration concept, the Finite integral concept, improper integral and its application, Polar coordinate and parametric equation including the application of calculation the
