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Therefore, we conclude that the solution given in (18) is optimal to problem (17).

In addition, is decreasing for, so we can conclude that the solution is globally asymptotically stable.

By using Theorem 3.2, we immediately conclude that the solution is global.

Therefore, we can conclude that the solution (x t)) of system (3.3) lies within (mathbb{R}_^{2}).

we can conclude that the solution of (24) exists and ξ=(D D H )−1 D h.

From Figures 1 and 2, it is easy to conclude that the solution continuously depends on the derivative.

Since (A.16 passing to the limit as, by the similar arguments in the proof of Theorem 4.11, we conclude that is the solution of the following equation: (A.17 Similarly, is also a solution of (A.17).

According to the previous discussions, we may conclude that the solutions of the two partial differentiation equations and lead to the global minimum of.

From the above analysis, we can conclude that the solutions worked out from the ITSDP are value for making decisions of energy resources allocation, capacity expansion of power and heat generation as well as pollutants emission management.

Using the even symmetry of the canonical form (2) with (q(x)) given by equation (15), we conclude that the solutions of the associated Legendre equation can oscillate only in the interval (|x| < x_), where from equation (17): x_ equiv x_ = frac{1}{N}bigl -1 + sqrt{N}bigl -1MN + 1}bigr).

So we conclude that is the solution of BVP (1.1).