We consider the Cauchy problem for linear moment partial differential equations with constant coefficients in two complex variables. We construct an integral representation of the solution of thisâ€¦ (More)

We consider the Cauchy problem for the general linear partial differential equations in two complex variables with constant coefficients. We obtain the necessary and sufficient conditions for theâ€¦ (More)

We consider the Cauchy problem for the Kowalevskaya type fractional linear partial differential equations in two complex variables with constant coefficients. We show that solution is analyticallyâ€¦ (More)

We consider the Cauchy problem for a general inhomogeneous linear partial differential equation with constant coefficients in two complex variables. We obtain necessary and sufficient conditions forâ€¦ (More)

The Cauchy problem for certain non-Kowalevskian complex homogeneous linear partial differential equations with constant coefficients is considered. The necessary and sufficient conditions for theâ€¦ (More)

We give a new characterisation of Borel summability of formal power series solutions to the n-dimensional heat equation in terms of holomorphic properties of the integral means of the Cauchy data. Weâ€¦ (More)

Machine vision nowadays is among the most important ‘senses’ in industrial automation and robotics. However, attaching vision systems to moving machine or to mobile robots imposes aâ€¦ (More)