The proof of the continuation principle is based on the fact that the family P ( q, λ ) of problems depending on two parameters q ∈ Q and λ ∈ [ 0, 1 ] is associated to the original b.v.p. (5).
In [15], Lu, Li and Su applied the homotopy continuation method to give a constructive proof of Mawhin's continuation theorem in [20], and thus established a global method for finding periodic solutions of ordinary differential equations (systems).
In [15], Lu, Li and Su applied the homotopy continuation method to give a constructive proof of Mawhin's continuation theorem in [20], which can be used to obtain the periodic solutions by track along a (C^{1}) trajectory.
"This is further proof of the dangers of the continuation of the state of paralysis of the security apparatus," Mr. Qurei said in a statement issued by his office.
The proof of existence theorem is based on the continuation method of Krasnosielski et al., Mawhin et al., and the Leray-Schauder degree.
In Sect. 2 we give a prior estimate and obtain the proof of Theorem 1.1 by applying the homotopy continuation method.
There's a feeling of continuation.
The proof of the main result relies on a known continuation theorem of coincidence degree theory.
We will now explain the proof [78] of the meromorphic continuation of ( zeta _R ).
In conclusion, ∥ [ e 1 ( 1 − e 1 ) f ″ ] ( p ) ∥ r > 0, and in continuation reasoning exactly as in the proof of Theorem 3, we can get the desired conclusion.
The proof of our main result is based upon the Leray-Schauder continuation theorem.
