Hyers–Ulam Stability for Differential Systems with $$2\times 2$$ Constant Coefficient Matrix

Stability results for set solution of fuzzy integro-differential systems

h-Stability of Linear Matrix Differential Systems

and Applied Analysis 3 whereW andZ are the solutions of (15) and (16), respectively, and I is the n × n identity matrix. Therefore, Φ(t, t 0 , x 0 ) = W(t, t 0 ) ⊗ Z T (t, t 0 ) . (22) (ii) Employing Lemma 2 and substituting forΦ the righthand side of (22), we get y (t, t 0 , x 0 ) = x (t, t 0 , x 0 )

Polynomial Solutions to Constant Coefficient Differential Equations

Let Dx, ... , Dr e C[d/dxx, ... , d/dxn) be constant coefficient differential operators with zero constant term. Let S = {fe C[xx,... , x„]\Dj(f) = 0 for all 1 < j < r) be the space of polynomial solutions to the system of simultaneous differential equations Dj(f) = 0. It is proved that S is a module over 3¡(V), the ring of differential operators on the affine scheme V with coordinate ring C[d/...

A hybrid method with optimal stability properties for the numerical solution of stiff differential systems

In this paper, we consider the construction of a new class of numerical methods based on the backward differentiation formulas (BDFs) that be equipped by including two off--step points. We represent these methods from general linear methods (GLMs) point of view which provides an easy process to improve their stability properties and implementation in a variable stepsize mode. These superioritie...

The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions

Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estim...