Sentence examples for degree methods from inspiring English sources

In 1931, a White House commission warned that the "third degree" — methods that "inflict suffering, physical or mental, upon a person in order to obtain information about a crime" — was "thoroughly at home in Chicago"; one preferred tactic involved beating a suspect in the head with a phone book, since it could "stun a man without leaving a mark".

Some existence results for the given equation are obtained by means of topological degree methods.

The proof of the main result is based on the phase-plane analysis and topological degree methods.

We investigate solutions to nonlinear operator equations which are difficult to investigate with variational methods and obtain some abstract existence results by topology degree methods.

Most of these results are obtained via applying control theory methods (Pontryagin maximum principle), matching methods, and topological degree methods etc.

In Barletta and Papageorgiou [8], the authors consider a nonsmooth potential with an asymmetric behavior at +∞ and at −∞ to get two nontrivial solutions using degree methods.

They apply the equivariant degree method to study the Hopf bifurcation of the system.

They applied the equivariant degree method to study the Hopf bifurcation phenomenon of the system.

Some new and related results obtained via the topological degree method can be found in [38 42].

The existence of solutions for such a problem is obtained by using the topological degree method.

The existence of a nonnegative nontrivial periodic solution is obtained through the use of the Leray-Schauder degree method.