Galerkin-wavelet methods for two-point boundary value problems.
Galois groups and elementary solutions of some linear differential equations.
Galois properties of linear differential equations
Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
We establish some new results about the Γ-limit, with respect to the L1-topology, of two different (but related) phase-field approximations ℰ ε ε , x10ff65; ℰ ε ε of the so-called Euler’s Elastica Bending Energy for curves in the plane. In particular we characterize theΓ-limit as ε → 0 of ℰε, and show that in general the Γ-limits of ℰεand x10ff65; ℰ ε do not coincide on indicator functions of sets with non-smooth boundary. More precisely we show that the domain of theΓ-limit of x10ff65;...
Gap-bifurcation for nonlinear perturbations of Hill's equation.
Gaps and bands of one dimensional periodic Schrödinger operators, II.
Gaps and bands of one dimensional periodic Schrödinger operators.
Gaps of one dimensional periodic AKNS systems.
Gateaux Differentials in Banach Algebras.
Gaudin's model and the generating function of the Wroński map
We consider the Gaudin model associated to a point z ∈ ℂⁿ with pairwise distinct coordinates and to the subspace of singular vectors of a given weight in the tensor product of irreducible finite-dimensional sl₂-representations, [G]. The Bethe equations of this model provide the critical point system of a remarkable rational symmetric function. Any critical orbit determines a common eigenvector of the Gaudin hamiltonians called a Bethe vector. In [ReV], it was shown that for generic...
Gauge-equivalent deformations of linear ordinary differential operators with constant coefficients.
Gaussian collocation via defect correction.
Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I)
We associate to any convenient nondegenerate Laurent polynomial on the complex torus a canonical Frobenius-Saito structure on the base space of its universal unfolding. According to the method of K. Saito (primitive forms) and of M. Saito (good basis of the Gauss-Manin system), the main problem, which is solved in this article, is the analysis of the Gauss-Manin system of (or its universal unfolding) and of the corresponding Hodge theory.
Gene regulatory networks and delay differential equations.
General boundary value problem for an integrodifferential system and its adjoint (continuation)
General boundedness theorems to some second order nonlinear differential equation with integrable forcing term.
General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations
New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
General exact solvability conditions for the initial value problems for linear fractional functional differential equations
Conditions on the unique solvability of linear fractional functional differential equations are established. A pantograph-type model from electrodynamics is studied.
General existence principles for nonlocal boundary value problems with -Laplacian and their applications.
General existence results for nonconvex third order differential inclusions.