Bounds for solutions of the equation $[p(t)x^{\prime }]^{\prime }+q(t)x=h(t,x,x^{\prime })$

Miloš Ráb

Displaying similar documents to “Bounds for solutions of the equation ${[p (t) x^{'}]}^{'} + q (t) x = h (t, x, x^{'})$ ”

A note on the Cauchy problem for first order linear differential equations with a deviating argument

Robert Hakl, Alexander Lomtatidze (2002)

Archivum Mathematicum

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Conditions for the existence and uniqueness of a solution of the Cauchy problem $u^{'} (t) = p (t) u (τ (t)) + q (t), u (a) = c,$ established in [2], are formulated more precisely and refined for the special case, where the function $τ$ maps the interval $] a, b [$ into some subinterval $[τ_{0}, τ_{1}] \subseteq [a, b]$ , which can be degenerated to a point.

Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations

E. Bravyi, Robert Hakl, Alexander Lomtatidze (2002)

Czechoslovak Mathematical Journal

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Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the problem $u^{'} (t) = ℓ (u) (t) + q (t), u (a) = c,$ where $ℓ C (I, ℝ) \to L (I, ℝ)$ is a linear bounded operator, $q \in L (I, ℝ)$ , and $c \in ℝ$ , are established.

Conjugacy and disconjugacy criteria for second order linear ordinary differential equations

T. Chantladze, Alexander Lomtatidze, Douglas Ugulava (2000)

Archivum Mathematicum

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Conjugacy and disconjugacy criteria are established for the equation $u^{''} + p (t) u = 0,$ where $p :] - \infty, + \infty [\to] - \infty, + \infty [$ is a locally summable function.

Displaying similar documents to “Bounds for solutions of the equation [ p ( t ) x ' ] ' + q ( t ) x = h ( t , x , x ' ) ”

A note on the Cauchy problem for first order linear differential equations with a deviating argument

Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations

Conjugacy and disconjugacy criteria for second order linear ordinary differential equations

Displaying similar documents to “Bounds for solutions of the equation ${[p (t) x^{'}]}^{'} + q (t) x = h (t, x, x^{'})$ ”