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In this paper we are interested in the solvability of a mixed type Monge-Amp`ere equation, a homology equation appearing in a normal form theory of singular vector fields and the
The Yang-Baxter equation first appeared in theoretical physics and statis- tical mechanics. Afterwards, it has proved to be important in knot theory, quantum groups, the quantization
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..
In the case of the Dirichlet and Neumann problems for the Laplace equation the solutions of these problems are represented in the form of simple and double layer potentials whose
Using the equivalence of the fractional differ-integral problem with the corresponding Volterra integral equation, we prove the existence of L 1 -solution such that the function
In order to consider the growth of meromorphic function solutions of a complex differential equation, Wang and Yi [19] extended the Wiman-Valiron theory from entire functions
Relative stabilities of cholestadienes calculated by molecular mechanics and semi-empirical methods: application to the acid-catalyzed rearrangement reactions of
Y has all right extensions (and right liftings), the endo-1-cells, modules, and modisms nearly form a bicategory with the same property, except for the missing identity
