Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
Journal of Inequalities and Applications, 2016 Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou +3 more
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Pairs of positive solutions for resonant singular equations with the p-Laplacian
Electronic Journal of Differential Equations, 2017 We consider a nonlinear elliptic equation driven by the Dirichlet p-Laplacian with a singular term and a (p-1)-linear perturbation which is resonant at $+\infty$ with respect to the principal eigenvalue. Using variational tools, together with suitable
Nikolaos S. Papageorgiou +2 more
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Graph-theoretical approach to the eigenvalue spectrum of perturbed higher-order exceptional points
Physical Review ResearchExceptional points are special degeneracy points in parameter space that can arise in (effective) non-Hermitian Hamiltonians describing open quantum and wave systems.
Daniel Grom +3 more
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Thermoelastic Cylinder Subjected to Suddenly Applied Radial Symmetric Pressure
Engineering Transactions, 1986 Stresses, temperature and oscillations of a thermoelastic cylinder suddenly cxposed to the radial symmetric pressure are analyzed in the paper. Solution of the corresponding eigenvalue problem is obtained by means of the perturbation technique, so that
M.M. Marjanov
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Subcritical perturbations of resonant linear problems with sign-changing potential
Electronic Journal of Differential Equations, 2005 We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain
Teodora-Liliana Dinu
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Spectral stability of undercompressive shock profile solutions of a modified KdV-Burgers equation
Electronic Journal of Differential Equations, 2007 It is shown that certain undercompressive shock profile solutions of the modified Korteweg-de Vries-Burgers equation $$ partial_t u + partial_x(u^3) = partial_x^3 u + alpha partial_x^2 u, quad alpha geq 0 $$ are spectrally stable when $alpha$ is ...
Jeff Dodd
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Existence and perturbation of principal eigenvalues for a periodic-parabolic problem
Electronic Journal of Differential Equations, 2000 We give a necessary and sufficient condition for the existence of a positive principal eigenvalue for a periodic-parabolic problem with indefinite weight function.
Daniel Daners
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Three nontrivial solutions for Neumann problems resonant at any positive eigenvalue
Le Matematiche, 2010 We consider a semilinear Neumann problem with a parametric reaction which has a concave term and a perturbation which at ±∞ can be resonant with respect to any positive eigenvalue.
Sophia Th. Kyritsi +1 more
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Transient dynamics and nonlinear fitness: A matrix approach to pulse and press perturbation. [PDF]
EcologyJaggi H +5 more
europepmc +1 more source
Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]
Sci RepMorgan M, Ahmed HM, Sayed M, Soliman M.
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