Damped second order linear differential equation with deviating arguments: sharp results in oscillation properties.
Darbouxian integrability for polynomial vector fields on the 2-dimensional sphere.
Darboux-Lamé equation and isomonodromic deformation.
Das Existenzproblem multivalenter Lösungen bei Differentialgleichungen.
Das Jacobische Kriterium der Variationsrechnung und die Oszillationseigenschaften linearer Differentialgleichungen 2. Ordnung. (Mit 1 Figur im Text) .
Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke.
Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke. (Short Communication).
Das Verhalten der Greenschen Matrix und der Entwicklungen nach Eigenfunktionen N-regulärer Eigenwertprobleme.
Das Wachstum ganzer Lösungen gewisser linearer Funktional-Differentialgleichungen.
Data dependence for some integral equation via weakly Picard operators.
Daubechies wavelets on intervals with application to BVPs
In this paper, Daubechies wavelets on intervals are investigated. An analytic technique for evaluating various types of integrals containing the scaling functions is proposed; they are compared with classical techniques. Finally, these results are applied to two-point boundary value problems.
De la Vallée Poussin type inequality and eigenvalue problem for generalized half-linear differential equation
We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Prüfer transformation. We establish a de la Vallée Poussin type inequality for the distance of consecutive zeros of a nontrivial solution and this result we apply to the “classical” half-linear differential equation regarded as a perturbation of the half-linear Euler differential equation with the so-called critical oscillation constant. In the second part of the paper...
Dead core problems for singular equations with -Laplacian.
Dead cores of singular Dirichlet boundary value problems with -Laplacian
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem , . Here is the positive parameter, , is singular at the value of its first phase variable and may be singular at the value of its first and at the value of its second phase variable.
Decaying positive entire solutions of the -Laplacian
Decaying positive solutions of some quasilinear differential equations
The existence of decaying positive solutions in of the equations and displayed below is considered. From the existence of such solutions for the subhomogeneous cases (i.e. as ), a super-sub-solutions method (see § 2.2) enables us to obtain existence theorems for more general cases.
Decaying Regularly Varying Solutions of Third-order Differential Equations with a Singular Nonlinearity
This paper is concerned with asymptotic analysis of strongly decaying solutions of the third-order singular differential equation , by means of regularly varying functions, where is a positive constant and is a positive continuous function on . It is shown that if is a regularly varying function, then it is possible to establish necessary and sufficient conditions for the existence of slowly varying solutions and regularly varying solutions of (A) which decrease to as and to acquire...
Decaying trajectories in sublinear retarded equations of arbitrary order
Decentralized control and synchronization of time-varying complex dynamical network
A new class of controlled time-varying complex dynamical networks with similarity is investigated and a decentralized holographic-structure controller is designed to stabilize the network asymptotically at its equilibrium states. The control design is based on the similarity assumption for isolated node dynamics and the topological structure of the overall network. Network synchronization problems, both locally and globally, are considered on the ground of decentralized control approach. Each sub-controller...
Decentralized robust tracking control of uncertain large scale systems with multiple delays in the interconnections
The problem of the decentralized robust tracking and model following is considered for a class of uncertain large scale systems including time-varying delays in the interconnections. On the basis of the Razumikhin-type theorem and the Lyapunov stability theory, a class of decentralized memoryless local state feedback controllers is proposed for robust tracking of dynamical signals. It is shown that by employing the proposed decentralized robust tracking controllers, one can guarantee that the tracking...