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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
Using Mawhin’s coincidence topological degree arguments and fixed point theory for non-expansive mappings results, we discuss the solvability of the Dirichlet problem for the
Kalmenov, On multidimensional regular bounded value prob- lems for the wave equation..
It is obvious that if the conditions of Theorem 2 are fulfilled, then the local solvability of problem (1), (2) guarantees its global solvability.. Therefore if the conditions
Formulation of the Problem and Main Results The Dirichlet problem for second order hyperbolic equations and some higher order linear hyperbolic equations with constant coefficients
The effective conditions guaranteeing the unique solvability of this problem and the stability of its solution with respect to small perturbations of the coefficients of the
[22] A. Ostrovsky, The conjugacy problem of equation of parabolic and hyperbolic types where the boundary conditions certain derivatives with respect to time , Differents.
We establish new efficient conditions for the unique solvability of a non-local boundary value problem for first-order linear functional differential equations.. Differential
