Sentence examples for be devoted to prove from inspiring English sources

end{aligned}The rest of the proof will be devoted to prove (4.33).

Section 3 is devoted to prove the maximum principles for parabolic Waldenfels operators.

This paper is devoted to prove the existence of multiple positive solutions to by using perturbation and variational methods.

This section is devoted to prove the consistency of the least square estimator (hat{r}_{n,varepsilon}).

Section 3 is devoted to prove the existence, multiplicity, and nonexistence of symmetric positive solutions for system (1.1)–(1.1).

This work is devoted to prove the weak and strong maximum principles for 'parabolic' equations with nonlocal Waldenfels operators.

Section 2 is devoted to prove the existence and the uniqueness of the solution to an equivalent Volterra integral formulation for problems (1.1) to (1.4).

This appendix is devoted to prove a Hardy-Poincaré's-like inequality more general that the one stated in Proposition 4.3.

The second part is devoted to prove exponential decay in L 1 of P ( s ) | M ( s, t ) | and P ( s ) | J ( s, t ) |.

In recent years, a great deal of mathematical effort has been devoted to prove the equivalence between the KKM principle and several fixed point theorems or minimax inequalities.

This paper is devoted to prove the equiconvergence formula of the eigenfunction expansion for some version of Schrodinger operator with explosive factor.