Fredholm linear operators associated with ordinary differential equations on noncompact intervals.
Fredholm property for a parameter dependent second order operator differential equation.
Fredholmness of an abstract differential equation of elliptic type.
Fredholm-Stieltjes integral equations with linear constraints: duality theory and Green's function
Free vibrations for the equation with sublinear
Frequency analysis of preconditioned waveform relaxation iterations
The error analysis of preconditioned waveform relaxation iterations for differential systems is presented. This analysis extends and refines previous results by Burrage, Jackiewicz, Nørsett and Renaut by incorporating all terms in the expansion of the error of waveform relaxation iterations in the Laplace transform domain. Lower bounds for the size of the window of rapid convergence are also obtained. The theory is illustrated for waveform relaxation methods applied to differential systems resulting...
Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval
In this paper we consider a linear operator on an unbounded interval associated with a matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the recessive system of solutions at infinity. This generalizes a similar result obtained by Marletta and Zettl for linear operators defined by even order Sturm-Liouville differential equations.
From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.
From multi-instantons to exact results
In these notes, conjectures about the exact semi-classical expansion of eigenvalues of hamiltonians corresponding to potentials with degenerate minima, are recalled. They were initially motivated by semi-classical calculations of quantum partition functions using a path integral representation and have later been proven to a large extent, using the theory of resurgent functions. They take the form of generalized Bohr--Sommerfeld quantization formulae. We explain here their...
From the recollections of Otakar Borůvka -- the founder of the Brno school of differential equations
From transverse heteroclinic cycles to transverse homoclinic orbits
Fuchsian differential equation for the perimeter generating function of three-choice polygons.
Fučík spectra for vector equations.
Functional compression-expansion fixed point theorem.
Functional differential equations
The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.
Functional differential equations - a reciprocity principle.
Functional differential equations in Banach spaces: Growth and decay of solutions.
Functional differential equations of mixed type in Banach spaces
Functional differential equations of third order.
Functional differential equations with infinite delay in Banach spaces.