On a boundary value problem
On a boundary value problem
The author gives sufficient conditions for the existence of the end point \(b\) of the interval \([a,b]\) and of the solution \(x\) on \([a,b]\) to a system \(x''(t)= f(t,x(\alpha(t)),x'(\beta(t)))\), such that \(x(a)= A\), \(x(b)= B\) and \(\| x'(a)\|= v\). One of the assumptions is that \(f(t,x,y)\) fulfils a Lipschitz condition with respect to \(x\) and \(y\).
- University of Silesia Poland
existence of the end point, Boundary value problems for functional-differential equations, Nonlinear boundary value problems for ordinary differential equations, boundary value problems, equations, boundary problem
existence of the end point, Boundary value problems for functional-differential equations, Nonlinear boundary value problems for ordinary differential equations, boundary value problems, equations, boundary problem
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