Browsing by MSC "34"
Now showing items 1-8 of 8
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Nonlinear Multi-Parameter Eigenvalue Problems for Systems of Nonlinear Ordinary Differential Equations Arising in Electromagnetics
[OWP-2014-15] (Mathematisches Forschungsinstitut Oberwolfach, 2014-12-20)We investigate a generalization of one-parameter eigenvalue problems arising in the theory of nonlinear waveguides to a more general nonlinear multiparameter eigenvalue problem for a nonlinear operator. Using an integral ... -
Observability of systems with delay convoluted observation
[OWP-2014-10] (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)This paper analyzes finite dimensional linear time-invariant systems with observation of a delay, where that delay satisfies a particular implicit relation with the state variables, rendering the entire problem nonlinear. ... -
On periodic solutions and global dynamics in a periodic differential delay equation
[OWP-2014-08] (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)Several aspects of global dynamics and the existence of periodic solutions are studied for the scalar differential delay equation $x'(t) = a(t)f(x([t-K]))$, where $f(x)$ is a continuous negative feedback function, $x \cdot ... -
Self-adjoint differential-algebraic equations
[OWP-2011-27] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-24)Motivated from linear-quadratic optimal control problems for differential-algebraic equations (DAEs), we study the functional analytic properties of the operator associated with the necessary optimality boundary value ... -
Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay
[OWP-2007-12] (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-28)We study positive bounded wave solutions $u(t, x) = \phi(\nu \cdot x+ct)$, $\phi(-\infty)=0$, of equation $u_t(t, x)=\delta u(t,x)−u(t,x) +g(u(t−h,x))$, $x \in \mathbb{R}^m$(*). It is supposed that Eq. (∗) has exactly two ... -
Square wave periodic solutions of a differential delay equation
[OWP-2014-09] (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)We prove the existence of periodic solutions of the differential delay equation $\varepsilon\dot{x}(t) + x(t)= f(x(t-1)), \varepsilon>0$ under the assumptions that the continuous nonlinearity $f(x)$ satisfies the negative ... -
Unconditional Convergence of Spectral Decompositions of 1D Dirac Operators with Regular Boundary Conditions
[OWP-2010-21] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-19) -
Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval
[OWP-2008-13] (Mathematisches Forschungsinstitut Oberwolfach, 2008)The matrix-valued Weyl-Titchmarsh functions $M(\lambda)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ...