We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results. Applications are given to nonlinear partial differential equations
AbstractGiven a differential polynomial P(D) in Rn with constant coefficients, consider the function...
Solutions are shown to exist for a variety of differential equations. Both ordinary and partial diff...
AbstractIn this paper we present certain applications of the topological degree theory in locally co...
A general study of the dimension and connectivity properties of branches of solutions of equations...
A general study of the dimension and connectivity properties of branches of solutions of equations d...
We state, and indicate some of the consequences of, a theorem whose sole assumption is the nonvanish...
Solutions are shown to exist for a variety of differential equations. Both ordinary and partial diff...
AbstractBifurcation results are stated for the class of A-proper mappings whose proof uses the gener...
summary:In the paper we study the topological structure of the solution set of a class of nonlinear ...
summary:In the paper we study the topological structure of the solution set of a class of nonlinear ...
AbstractDegree theory has been developed as a tool for checking the solution existence of nonlinear ...
summary:The properties of solutions of the nonlinear differential equation $x'=A(s)x+f(s,x)$ in a Ba...
Solutions are shown to exist for a variety of differential equations. Both ordinary and partial diff...
AbstractWe use the degree of quasiruled Fredholm maps on quasicylindrical domains developed in Part ...
summary:The properties of solutions of the nonlinear differential equation $x'=A(s)x+f(s,x)$ in a Ba...
AbstractGiven a differential polynomial P(D) in Rn with constant coefficients, consider the function...
Solutions are shown to exist for a variety of differential equations. Both ordinary and partial diff...
AbstractIn this paper we present certain applications of the topological degree theory in locally co...
A general study of the dimension and connectivity properties of branches of solutions of equations...
A general study of the dimension and connectivity properties of branches of solutions of equations d...
We state, and indicate some of the consequences of, a theorem whose sole assumption is the nonvanish...
Solutions are shown to exist for a variety of differential equations. Both ordinary and partial diff...
AbstractBifurcation results are stated for the class of A-proper mappings whose proof uses the gener...
summary:In the paper we study the topological structure of the solution set of a class of nonlinear ...
summary:In the paper we study the topological structure of the solution set of a class of nonlinear ...
AbstractDegree theory has been developed as a tool for checking the solution existence of nonlinear ...
summary:The properties of solutions of the nonlinear differential equation $x'=A(s)x+f(s,x)$ in a Ba...
Solutions are shown to exist for a variety of differential equations. Both ordinary and partial diff...
AbstractWe use the degree of quasiruled Fredholm maps on quasicylindrical domains developed in Part ...
summary:The properties of solutions of the nonlinear differential equation $x'=A(s)x+f(s,x)$ in a Ba...
AbstractGiven a differential polynomial P(D) in Rn with constant coefficients, consider the function...
Solutions are shown to exist for a variety of differential equations. Both ordinary and partial diff...
AbstractIn this paper we present certain applications of the topological degree theory in locally co...