Sentence examples for mild solutions on from inspiring English sources

We notice that all the papers mentioned above were investigated mild solutions on a bounded interval.

Next, we prove the continuous dependence of the mild solutions on the initial values.

Then IVP (6.1) has a minimal and a maximal mild solutions on.

In order to fill this gap, we are concerned with the continuous dependence of mild solutions on the initial values and orders for IVP (1.1).

In this paper, we discuss the continuous dependence of mild solutions on initial values and orders for the initial value problem of fractional evolution equations in infinite dimensional spaces.

This procedure can be repeated to extend the solution to the entire interval in finitely many similar steps, thereby completing the proof for the existence and uniqueness of mild solutions on the whole interval.

Then IVP (6.18) has at least one mild solution on.

So (4.2) has at least one mild solution on [ 0, 1 ] by Theorem 3.2 and Corollary 3.3.

Then the nonlocal problem (1.1) has at least one mild solution on [0, T].

If, then the nonlocal impulsive problem (1.1) has at least one mild solution on, provided.

Then, the problem (3.34) has at least one mild solution on.