initial value problem meaning in Hindi

Examples

1. In practice, the initial value problem is often solved numerically.
2. So the initial value problem has no unique solution in general relativity.
3. The most common approaches start with an initial value problem based on the ADM formalism.
4. For the equation and initial value problem:
5. The solution of the initial value problem in terms of characteristic variables is finally very simple.
6. Hiroshi Okamura obtained a necessary and sufficient condition for the solution of an initial value problem to be unique.
7. Given the coefficient matrix, one wishes to solve the initial value problem associated with the linear ordinary differential equation
8. For such spacetimes the equations in general relativity can be posed as an initial value problem on a Cauchy surface.
9. In this context, solving an initial value problem is interpreted as lying in the hyperplane given by the initial conditions.
10. For first order initial value problems, the Peano existence theorem gives one set of circumstances in which a solution exists.