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Stability Analysis of a Four-Species Periodic Diffusive Predator-Prey System with Delay and Feedback Control. [PDF]
Jia L, Wang C.
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Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]
Di Francesco P +4 more
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On quasilinear hyperbolic equations with degenerate principal part
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Degenerate Quasilinear Hyperbolic Equation with Strong Damping
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Local solutions for a nonlinear degenerate Hyperbolic equation
Nonlinear Analysis: Theory, Methods & Applications, 1986The author investigates local solutions for the initial-boundary value problem associated to the nonlinear degenerated hyperbolic equation of the type \(u_{tt}-M(\int_{\Omega}| \nabla u|^ 2dx)\Delta u=0,\) which comes from the mathematical description of the vibrations of an elastic stretched string.
L A Medeiros, M Milla Miranda
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A degenerate hyperbolic equation under Levi conditions
In the present study the author deals with the second-order equations of the form \[ \Biggl(D^2_t- \sum^n_{i,j=1} a_{ij}(t, x)D_{x_i} D_{x_j}+ \sum^n_{j=1} b_j(t, x)D_{x_j}+ C(t, x)\Biggr) u(t, x)= 0,\tag{1} \] where \(t\in [0,T]\), \(x\in\mathbb{R}^n\), \(D= {1\over i}\partial\), with \[ a(t,x,\xi):= \sum^n_{i,j=1} a_{ij}(t, x)\xi_i\xi_j\geq 0,\quad t\
ASCANELLI, Alessia
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On a variational inequality for a degenerate quasilinear hyperbolic equation
Applied Mathematics and Computation, 2003The author studies a unilateral problem for the nonhomogeneous degenerate Kirchhoff equation with a blowing up term. Using the penalty method and Galerkin's approximation, existence and uniqueness results are obtained.
Mohammed Aassila
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Certain nonlocal problem for a degenerate hyperbolic equation
Mathematical Notes, 1992The equation \((*)\) \(| y|^ m u_{xx}- u_{yy}=0\), \(m>0\) is considered in a domain bounded by characteristics of \((*)\). Values of integrals of \(u\) along characteristics are given. The author proves uniqueness and existence of the solution to the problem mentioned above.
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Local solution for a degenerate hyperbolic equation with memory
Nonlinear Analysis: Theory, Methods & Applications, 1994In this paper, the local solvability in suitable Sobolev-type spaces for the nonlocal equation \[ u'' - m \bigl( (\Lambda u,u) \bigr) \cdot \Lambda u + \dot a* \biggl( m \bigl( (\Lambda u,u) \bigr) \cdot \Lambda u \biggr) = 0, \quad u(0) = u_0,\;u'(0) = u_1, \tag{*} \] is studied. Here \(m(r)\) is a nonnegative function (possibly vanishing somewhere), \
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