calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown...

boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution...

or initial point. Since the parameter s {\displaystyle s} is usually time, Cauchy conditions can also be called initial value conditions or initial value...

variables as a function of time and of the initial conditions is called the initial value problem. A corresponding problem exists for discrete time situations...

Picard–Lindelöf theorem gives a set of conditions under which an initial value problem has a unique solution. It is also known as Picard's existence theorem...

cosmologists to question how the initial density came to be so closely fine-tuned to this 'special' value. The problem was first mentioned by Robert Dicke...

given function of x and t. Initial value problem on (−∞,∞) { u t = k u x x ( x , t ) ∈ R × ( 0 , ∞ ) u ( x , 0 ) = g ( x ) Initial condition {\displaystyle...

on a hypersurface in the domain. A Cauchy problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundary condition)...

boundary value problem by reducing it to an initial value problem. It involves finding solutions to the initial value problem for different initial conditions...

gauge of electromagnetism. One method to solve the initial-value problem (with the initial values as posed above) is to take advantage of a special property...