Results 11 to 20 of about 197,586 (230)
Existence of $psi$-bounded solutions for a system of differential equations
Electronic Journal of Differential Equations, 2004 In this article, we present a necessary and sufficient condition for the existence of solutions to the linear nonhomogeneous system $x'=A(t)x + f(t)$. Under the condition stated, for every Lebesgue $Psi$-integrable function $f$ there is at least one $Psi$
Aurel Diamandescu
doaj +1 more source
Integrable operators and squares of Hankel operators. [PDF]
, 2008 Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
core +5 more sources
On tau functions associated with linear systems [PDF]
, 2012 \noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Newsham, Samantha, Blower, Gordon
core +4 more sources
On integrable conservation laws [PDF]
, 2014 We study normal forms of scalar integrable dispersive (non necessarily Hamiltonian) conservation laws via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrised by infinitely many arbitrary
Moro, Antonio +2 more
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A List of 1 + 1 Dimensional Integrable Equations and Their Properties [PDF]
, 2001 This paper contains a list of known integrable systems. It gives their recursion-, Hamiltonian-, symplectic- and cosymplectic operator, roots of their symmetries and their scaling ...
Jing Ping Wang, Wang, Jing Ping
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On Classification of Integrable Davey-Stewartson Type Equations [PDF]
, 2013 This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax ...
Novikov, Vladimir, Huard, Benoit
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Integrable viscous conservation laws [PDF]
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
core +1 more source
Partially integrable nonlinear equations with one higher symmetry [PDF]
, 2005 In this letter, we present a family of second order in time nonlinear partial differential equations, which have only one higher symmetry.
Mikhailov, AV +5 more
core +1 more source
Discrete integrable systems and Poisson algebras from cluster maps [PDF]
, 2014 We consider nonlinear recurrences generated from cluster mutations applied to quivers that have the property of being cluster mutation-periodic with period 1.
Fordy, AP +3 more
core +1 more source
Molecular Oncology, EarlyView.Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
wiley +1 more source