International audienceThis paper explores some nonlinear systems of singular partial differential equations written in the form t A D t U = Λ(t, x)U + f t, x, ζU, t A D x U. Under an assumption on Λ, unique solvability theorems are provided in the space of functions that are holomorphic in x on an open set, differentiable with respect to t on a real interval ]0, r] and extending to a continuous function at t = 0. The studied systems contain Fuchsian systems
This paper discusses the existence and uniqueness of solutions to a special kind of nonlinear singul...
In this thesis we study the local solvability of a class of real analytic singular systems of nonlin...
The results concerning the construction and research of analytic properties of solutions to nonlinea...
The paper proves a uniqueness theorem of the solution of nonlinear singular partial differential equ...
AbstractWe derive some results for linear differential-algebraic equations (DAEs) of the form N(t)z′...
Abstract. The paper proves a uniqueness theorem of the solution of nonlinear singular partial differ...
Abstract: To a certain $\mathrm{V}\mathrm{o}\mathrm{l}\mathrm{e}\mathrm{v}\mathrm{i}\check{\mathrm{c...
This paper considers the equation $Pu=f $ , where $u $ and $f $ are contin-uous with respect to $t $...
To Fuchsian hyperbolic systems, the unique solvability theorem is proved in two cases: (1) hyperfunc...
This paper discusses the existence and uniqueness of solutions to a special kind of nonlinear singul...
Using a Lipschitz type condition, we obtain the uniqueness of solutions for a system of n-th order ...
We give sufficient conditions involving f, g and Omega in order that systems of differential equatio...
We study the solvability of a system of second-order partial differential equations under given boun...
Introduction. We study linear partial differential equations of Fuchsian type with respect to a hype...
Existence results are established for the singular equation y " + f(t, y) = 0, where f is not a...
This paper discusses the existence and uniqueness of solutions to a special kind of nonlinear singul...
In this thesis we study the local solvability of a class of real analytic singular systems of nonlin...
The results concerning the construction and research of analytic properties of solutions to nonlinea...
The paper proves a uniqueness theorem of the solution of nonlinear singular partial differential equ...
AbstractWe derive some results for linear differential-algebraic equations (DAEs) of the form N(t)z′...
Abstract. The paper proves a uniqueness theorem of the solution of nonlinear singular partial differ...
Abstract: To a certain $\mathrm{V}\mathrm{o}\mathrm{l}\mathrm{e}\mathrm{v}\mathrm{i}\check{\mathrm{c...
This paper considers the equation $Pu=f $ , where $u $ and $f $ are contin-uous with respect to $t $...
To Fuchsian hyperbolic systems, the unique solvability theorem is proved in two cases: (1) hyperfunc...
This paper discusses the existence and uniqueness of solutions to a special kind of nonlinear singul...
Using a Lipschitz type condition, we obtain the uniqueness of solutions for a system of n-th order ...
We give sufficient conditions involving f, g and Omega in order that systems of differential equatio...
We study the solvability of a system of second-order partial differential equations under given boun...
Introduction. We study linear partial differential equations of Fuchsian type with respect to a hype...
Existence results are established for the singular equation y " + f(t, y) = 0, where f is not a...
This paper discusses the existence and uniqueness of solutions to a special kind of nonlinear singul...
In this thesis we study the local solvability of a class of real analytic singular systems of nonlin...
The results concerning the construction and research of analytic properties of solutions to nonlinea...
DOI
Add to ORKG