summary:An ODE with non-Lipschitz right hand side has been considered. A family of solutions with $L^p$-dependence of the initial data has been obtained. A special set of initial data has been constructed. In this set the family is continuous. The measure of this set has been estimated
In this note we consider the computability of the solution of the initial- value problem for ordina...
summary:We prove an existence and uniqueness theorem for row-finite initial value problems. The righ...
We consider continuous solutions $u$ to the balance equation \[ \partial_t u(t,x) + \partial_x [f(...
summary:An ODE with non-Lipschitz right hand side has been considered. A family of solutions with $L...
AbstractWe consider the one-dimensional ordinary differential equation with a vector field which is ...
summary:It is proved that nonincreasing and satisfying the Volterra condition right-hand side of a f...
In this note we consider the computability of the solution of the initial-value problem for ordinary...
AbstractA theory is presented for absolutely continuous solutions of the general scalar first order ...
In this note we consider the computability of the solution of the initial- value problem for ordina...
AbstractIn this note we consider the computability of the solution of the initial-value problem for ...
We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs...
summary:We discuss the existence of almost everywhere solutions of nonlinear PDE’s of first (in the ...
Consider the differential equation y 0 = F(x, y). We determine the weakest possible upper bound on |...
AbstractWe show that if X is an infinite-dimensional separable Banach space (or more generally a Ban...
AbstractWe present some new uniqueness criteria for the Cauchy problem x′(t)=ft,x(t),x(t0)=x0, based...
In this note we consider the computability of the solution of the initial- value problem for ordina...
summary:We prove an existence and uniqueness theorem for row-finite initial value problems. The righ...
We consider continuous solutions $u$ to the balance equation \[ \partial_t u(t,x) + \partial_x [f(...
summary:An ODE with non-Lipschitz right hand side has been considered. A family of solutions with $L...
AbstractWe consider the one-dimensional ordinary differential equation with a vector field which is ...
summary:It is proved that nonincreasing and satisfying the Volterra condition right-hand side of a f...
In this note we consider the computability of the solution of the initial-value problem for ordinary...
AbstractA theory is presented for absolutely continuous solutions of the general scalar first order ...
In this note we consider the computability of the solution of the initial- value problem for ordina...
AbstractIn this note we consider the computability of the solution of the initial-value problem for ...
We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs...
summary:We discuss the existence of almost everywhere solutions of nonlinear PDE’s of first (in the ...
Consider the differential equation y 0 = F(x, y). We determine the weakest possible upper bound on |...
AbstractWe show that if X is an infinite-dimensional separable Banach space (or more generally a Ban...
AbstractWe present some new uniqueness criteria for the Cauchy problem x′(t)=ft,x(t),x(t0)=x0, based...
In this note we consider the computability of the solution of the initial- value problem for ordina...
summary:We prove an existence and uniqueness theorem for row-finite initial value problems. The righ...
We consider continuous solutions $u$ to the balance equation \[ \partial_t u(t,x) + \partial_x [f(...
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