Sentence examples for mild solution and from inspiring English sources

Actually, from what we have just proved, (1.1) has a mild solution and (3.29).

In the next section, we introduce some notations and definitions of mild solution and asymptotic stability.

(H40) The IVP (6.1) has a lower mild solution and an upper mild solution with.

However, Theorem 1.2 only shows the existence of mild solution, and it cannot tell if it is positive.

(H37) The IVP (3.1) and (3.2) has a lower mild solution and an upper mild solution with.

Then for the stochastic system (5.1) there exists a global mild solution, and it is exponentially stable provided that and are small enough.

Then, the concept of mild solutions and existence results are presented.

Now we give the definitions of mild solutions and approximate controllability for system (1.1 - 1.3 1.1 - 1.3

In Section 4, we study the continuous dependence between mild solutions and initial data.

They established the existence and uniqueness of local and global mild solutions and proved the existence and regularity of classical solutions.

Byszewski and Lakshmikantham [18] showed the existence and uniqueness of mild solutions and classical solutions when f and g in (1.1) satisfy Lipschitz type conditions.