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Showing 1 to 5 of 5 for “"Euler-Lagrange equation"”.
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Patterns in an elastic bar
… on an elastic foundation [63] which leads to the Euler-Lagrange equation for the functional ε(u) = ∫ between 0 and 1 (γu²xx +W(ux) + ɑu²)dx, where x is an element of the set (0, 1). with double Dirichlet boundary conditions. Here the potential W(p) = ((|p| - 1)²), is not differentiable at p = …
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Discrete Fractional Calculus and Its Applications to Tumor Growth
… problem in discrete calculus and the related Euler-Lagrange equation are developed in the fourth chapter. In the fifth chapter, the fractional Gompertz difference equation is introduced. <br> First, the existence and uniqueness of the solution is shown and then the equation is solved by the …
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CLASSIFICATION RESULTS FOR SEMILINEAR ELLIPTIC EQUATIONS
… problems of solutions to semilinear elliptic equations, with a particular focus on the study of symmetry and rigidity results. The thesis is divided into four chapters. In Chapter 1 we consider solutions to some semilinear elliptic equations on complete noncompact Riemannian manifolds and …
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Modelling and Simulation of the Nonlinear Dynamics of Arrays of Coupled Filaments for Robot Walkers
… model of the coupling base. The governing equations for the system are derived using Euler-Lagrange's formalism. In simulations, our primary objective is to examine coordinated patterns under diverse initial conditions. The evolution of the simulated system demonstrates a convergence …
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Kontaktprobleme in der nichtlinearen Elastizitätstheorie
… Körpers. Unter Verwendung einer geeigneten Lagrangeschen Multiplikatorenregel wird eine notwendige Bedingung für Minimierer hergeleitet. Weiterhin werden Ergebnisse für den Kontakt zweier elastischer Körper formuliert.