Sentence examples for by using a continuation from inspiring English sources

By using a continuation theorem established by Mawhin and Manásevich [36], some new results are obtained.

From a global perspective, it is also shown that the model undergoes strong resonances, such as the resonance 1 4, by using a continuation procedure.

By using a continuation theorem based on coincidence degree theory, they obtained sufficient criteria for the existence of periodic solutions for the system.

By using a continuation theorem of coincidence degree theory, the sufficient conditions for the existence of a positive periodic solution are obtained for the system.

By using a continuation theorem based on coincidence degree theory, we obtain suffcient criteria for the existence of periodic solutions for the system.

By using a smooth continuation of the mapping into ghost cells surrounding a block, we reduce the inter-block communication problem to finding an accurate, robust interpolation into these ghost cells from neighboring blocks.

Four-end solutions have been constructed by Del Pino, Kowalczyk, Pacard and Wei when the angle θ of the ends is close to π/2 or 0 using the Lyapunov Schmid reduction method, and later by Kowalczyk, Liu and Pacard using a continuation method for general θ∈ 0,π/2).

By using a properly modified continuation procedure, the reentry problem was solved in [55] and the results of [18] were retrieved.

The problem is solved by using a technique of the sequential continuation of solution in the cyclic mode for each of the equation alternately.

The non-linear equations of motion are studied by using a code based on the arclength continuation method.

The nonlinear equations of motion are studied by using a code based on pseudo-arclength continuation method.