Sentence examples for points of functional from inspiring English sources
Then critical points of functional I restricted to E are 2π-periodic solutions of system (1.7).
A main tool of seeking the critical points of functional I is the mountain pass theorem (see [1 3]).
Therefore, it was very important to define the seed points of functional connectivity to understand the pathophysiology in MOH.
A main tool of seeking the critical points of functional is the mountain pass theorem (see [1 3]).
Since α ˜ k → + ∞ as k → ∞, we know that { u ( k ) } k = 1 ∞ is an unbound sequence of critical points of functional I. Thus, the proof of Theorem 1.1 is complete.
The mountain pass theorem concerns itself with proving the existence of critical points of functional which satisfy the Palais-Smale (PS) condition, which occurs repeatedly in critical point theory.
It's a form of homeopathic medicine, where the vital ingredient has been diluted to a point of functional insignificance — while still remaining somehow potent.
Then is a critical point of functional.
Hence a critical point of functional I is a solution of penalization problem (1.2).
(u^{ ( 0 ) }) is a zero-free critical point of functional I.
Let (u(t)in H) be a critical point of functional φ.
