On the nonlinear elastic simply supported beam equation.

Galewski, Marek

Displaying similar documents to “On the nonlinear elastic simply supported beam equation.”

Existence of solutions for the Dirichlet problem with superlinear nonlinearities

Andrzej Nowakowski, Andrzej Rogowski (2003)

Czechoslovak Mathematical Journal

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In this paper we establish the existence of nontrivial solutions to $\frac{d}{d t} L_{x^{'}} (t, x^{'} (t)) + V_{x} (t, x (t)) = 0, x (0) = 0 = x (T),$ with $V_{x}$ superlinear in $x$ .

Reliable solution of parabolic obstacle problems with respect to uncertain data

Ján Lovíšek (2003)

Applications of Mathematics

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A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...

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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A coupled system with integral conditions.

Bougoffa, Lazhar (2004)

Applied Mathematics E-Notes [electronic only]

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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 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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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.