On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.

Aliev, Araz R.; Gasymov, Aydin A.

Displaying similar documents to “On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.”

A coupled system with integral conditions.

Bougoffa, Lazhar (2004)

Applied Mathematics E-Notes [electronic only]

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Differential equations at resonance

Donal O'Regan (1995)

Commentationes Mathematicae Universitatis Carolinae

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New existence results are presented for the two point singular “resonant” boundary value problem $\frac{1}{p} {(p y^{'})}^{'} + r y + λ_{m} q y = f (t, y, p y^{'})$ a.eȯn $[0, 1]$ with $y$ satisfying Sturm Liouville or Periodic boundary conditions. Here $λ_{m}$ is the ${(m + 1)}^{s t}$ eigenvalue of $\frac{1}{p q} [{(p u^{'})}^{'} + r p u] + λ u = 0$ a.eȯn $[0, 1]$ with $u$ satisfying Sturm Liouville or Periodic boundary data.

On the existence of a bounded solution of a non-linear differential equation

M. Jakubičková (1968)

Archivum Mathematicum

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Ob ocenkah smeshannogo modulya gladkosti funkcii s preobrazovannym ryadom Fur'e

M.K. Potapov, B.V. Simonov, B. Lakovich (1995)

Publications de l'Institut Mathématique

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Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems

Awar Simon Ukpera, Olufemi Adeyinka Adesina (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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This paper presents vector versions of some existence results recently published for certain fourth order differential systems based on generalisations drawn from possibilities arising from the underlying auxiliary equation. The results obtained also extend some known works involving third order differential systems to the corresponding fourth order.

On periodic solutions of non-autonomous second order Hamiltonian systems

Xingyong Zhang, Yinggao Zhou (2010)

Applications of Mathematics

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The purpose of this paper is to study the existence of periodic solutions for the non-autonomous second order Hamiltonian system $\{\begin{matrix} \ddot{u} (t) = \nabla F (t, u (t)), a.e. t \in [0, T], \\ u (0) - u (T) = \dot{u} (0) - \dot{u} (T) = 0 . \end{matrix}$ Some new existence theorems are obtained by the least action principle.