On naturality of the Helmholtz operator

Włodzimierz M. Mikulski

Displaying similar documents to “On naturality of the Helmholtz operator”

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.

Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems

Alexander J. Zaslavski (2005)

Annales de l'I.H.P. Analyse non linéaire

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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.