Results 91 to 100 of about 19,956 (200)

Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation

, 2011
We associate to a parametrized family $f$ of nonlinear Fredholm maps possessing a trivial branch of zeroes an {\it index of bifurcation} $\beta(f)$ which provides an algebraic measure for the number of bifurcation points from the trivial branch.
Pejsachowicz, Jacobo
core  

Different types of solvability conditions for differential operators

Electronic Journal of Differential Equations, 2006
Solvability conditions for linear differential equations are usually formulated in terms of orthogonality of the right-hand side to solutions of the homogeneous adjoint equation.
Sergey G. Kryzhevich, Vitaly A. Volpert
doaj  

Solvability in the sense of sequences to some non-Fredholm operators

Electronic Journal of Differential Equations, 2013
We study the solvability of certain linear nonhomogeneous elliptic problems and show that under reasonable technical conditions the convergence in $L^2(mathbb{R}^d)$ of their right sides implies the existence and the convergence in $H^2(mathbb{R}^d ...
Vitaly Volpert, Vitali Vougalter
doaj  

Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]

BMC Res Notes, 2023
Badeye SR, Woldaregay MM, Dinka TG.
europepmc   +1 more source

A spectral theorem for a non-Archimedean valued field whose residue field is formally real

Extracta Mathematicae
In this paper, we will prove a spectral theorem for self-adjoint compactoid operators. Also, we will study the condition on which the coefficient field must be imposed.
K. Ishizuka
doaj   +1 more source

Smoothing Effect and Fredholm Property for First-order Hyperbolic PDEs [PDF]

, 2013
We give an exposition of recent results on regularity and Fredholm properties for first-order one-dimensional hyperbolic PDEs. We show that large classes of boundary operators cause an effect that smoothness increases with time. This property is the key in finding regularizers (parametrices) for hyperbolic problems.
openaire   +2 more sources

Fredholm properties of Schrödinger operators in $L^P(\mathbbR^N)$

Differential and Integral Equations, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rabier, P. J., Stuart, C. A.
openaire   +3 more sources

A Special Class of Infinite Dimensional Dirac Operators on the Abstract Boson-Fermion Fock Space

Journal of Mathematics, 2014
Spectral properties of a special class of infinite dimensional Dirac operators Q(α) on the abstract boson-fermion Fock space ℱ(ℋ,𝒦) associated with the pair (ℋ,𝒦) of complex Hilbert spaces are investigated, where α∈C is a perturbation parameter (a ...
Asao Arai
doaj   +1 more source

Weak Symplectic Functional Analysis and General Spectral Flow Formula

, 2004
We consider a continuous curve of self-adjoint Fredholm extensions of a curve of closed symmetric operators with fixed minimal domain $D_m$ and fixed {\it intermediate} domain $D_W$.
Booss-Bavnbek, Bernhelm, Zhu, Chaofeng
core   +1 more source

The Existence of Periodic Solutions for Second-Order Delay Differential Systems. [PDF]

J Dyn Differ Equ, 2022
Liu C, Wang Q.
europepmc   +1 more source