Browsing Ústav matematiky by Author "Opluštil, Zdeněk"

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Fredholm alternative for the second-order singular Dirichlet problem

Lomtatidze, Aleksandre; Opluštil, Zdeněk (Springer, 2014-01-13)

It is found condition guarantees the validity of the Fredholm alternative for the second-order singular Dirichlet problem.
Fredholm's third theorem for second order singular Dirichlet problem

Lomtatidze, Aleksandre; Opluštil, Zdeněk (Springer, 2014-03-18)

There are found conditions guarantee the validity of the third Fredholm's theorem for the second-order singular Dirichlet problem.
Solvability of a nonlocal boundary value problem for linear functional differential equations

Opluštil, Zdeněk (Springer, 2013-08-14)

In the paper, the problem on the existence and uniqueness of a solution to the nonlocal problem u'(t)=l(u)(t)+q(t), u(a)=h(u)+c is studied. They are found conditions guaranteeing the unique solvability of considered problem.