On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations
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DOI: 10.1155/2017/9401205
Abstract: We carry out a classification of Lie symmetries for the ()-dimensional nonlinear damped wave equation with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some… read more here.
Keywords: nonlinear damped; symmetries conservation; laws multidimensional; multidimensional nonlinear ... See more keywords
Oscillation of third order nonlinear damped dynamic equation with mixed arguments on time scales
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DOI: 10.1186/s13662-018-1654-3
Abstract: AbstractThe objective of this paper is to offer sufficient conditions for the oscillation of all solutions of the third order nonlinear damped dynamic equation with mixed arguments of the form (r2(r1(yΔ)α)Δ)Δ(t)+p(t)ψ(t,yΔ(a(t)))+q(t)f(t,y(g(t)))=0$$\bigl(r_{2}\bigl(r_{1}\bigl(y^{\Delta}\bigr)^{\alpha}\bigr)^{\Delta}\bigr)^{\Delta}(t)+p(t)\psi \bigl(t,y^{\Delta}\bigl(a(t)\bigr)\bigr)+q(t)f\bigl(t,y\bigl(g(t)\bigr) \bigr)=0 $$ on… read more here.
Keywords: bigl; nonlinear damped; bigr; third order ... See more keywords