Exact(11)
To state our solution formulas of problem: (2.2 - 2.3 2.2 - 2.3oduce some classes of multipliers.
The differential equations for I, P and D posses explicit solution formulas for the chosen control space.
The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem:, , ,,.
The closed form solution formulas for determining crater depth, radius and ejected mass being functions of impactor mass, speed and material of both impactor and target is provided.
The existence and uniqueness of solutions and asymptotic estimate of solution formulas are studied for the following initial value problem:,,, where is a constant and.
Therefore, there is a lot of work to be done in these directions, and it should be interesting yet difficult to construct more solution formulas for system (2).
Similar(49)
Formulas (2)–(4) are iterated to obtain the optimal solution formula (1).
In Section 2 we derive the solution formula of our semi-linear problem.
Firstly, we derive the solution formula for the problem (1.1), (1.2).
The aim of this subsection is to derive the solution formula for the problem (1.1), (1.2).
The aim of this section is to derive the solution formula for the problem (1.1), (1.2).
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