Sentence examples for method we prove from inspiring English sources

Using the discrete energy method, we prove the compact difference scheme is unconditionally stable and convergent.

By Fourier method, we prove that one class of difference scheme is unconditionally stable and convergent, the other is conditionally stable and convergent.

Using the contradiction method, we prove the lemma.

Using the Picard iteration method, we prove the existence of equation (1.1) in Sect.

Using the periodic unfolding method, we prove some convergence results and describe the homogenized problems.

Using the fixed-point method, we prove the generalized Hyers-Ulam stability of the functional equation.

In this article, using fixed point method, we prove the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras.

Applying the H-reflection and the moving plane method, we prove that the cylindrical solution of (1.1) is monotone.

Using the fixed point method, we prove the Hyers-Ulam-Rassias stability of fuzzy ∗-derivations in fuzzy Banach ∗-algebras.

In this section, using direct method, we prove the Hyers-Ulam stability of functional equation (1.1) in fuzzy Banach spaces.

Using the fixed point method, we prove the Hyers-Ulam stability of the following quadratic functional equation.