An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation

Nina A. Chernyavskaya; Leonid A. Shuster

Displaying similar documents to “An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation”

A coupled system with integral conditions.

Bougoffa, Lazhar (2004)

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The extension of Montgomery identity via Fink identity with applications.

Aglić Aljinović, A., Pečarić, J., Vukelić, A. (2005)

Journal of Inequalities and Applications [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 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. (2009)

Boundary Value Problems [electronic only]

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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.

On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations.

Kharibegashvili, S. (2005)

Boundary Value Problems [electronic only]

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