The continuous Bonhoeffer–van der Pol (BVP for short) oscillator is transformed into a mapbased BVP model by using the forward Euler scheme. At first, the bifurcations and chaos of the map-based BVP model are investigated when the step size varies as a bifurcation parameter. By using the fast-slow decomposition technique, a two-parameter bifurcation diagram is obtained to give insight into the ...

In this paper, the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy-Riemann equation in a triangle is investigated explicitly. Firstly, by the technique of parquetingreflection and the Cauchy-Pompeiu representation formula a modified Cauchy-Schwarz representation formula is obtained. Then, the solution of the Schwarz BVP is explicitly solved. In particular, the boundary behavio...

A Dirichlet problem is considered for the eikonal equation in an anisotropic medium. The nonlinear boundary value problem (BVP) formulated in the present work is the limit of the diffusion–reaction problem with a diffusion parameter tending to zero. To solve numerically the singularly perturbed diffusion– reaction problem, monotone approximations are employed. Numerical examples are presented f...

We consider a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter. Discussing the point spectrum and using the uniqueness theorem of analytic functions, we present a condition that guarantees that this BVP has a finite number of eigenvalues and spectral singularities with finite multiplicities.

In this paper we consider the problem of finding norms of certain matrix operators on sequence space bvp . In fact, we consider these problems for weighted mean, and generalized Cesaro matrices on sequence space bvp . Mathematics subject classification (2010): 26D15, 47A30, 40G05, 47D37, 46A45, 54D55.

OBJECTIVES This study assessed the effects of biventricular pacing (BVP) on ventricular function, functional status, quality of life and hospitalization in patients with congestive heart failure (CHF), prior atrioventricular (AV) junction ablation and right ventricular (RV) pacing performed for chronic atrial fibrillation (AF). BACKGROUND Although the benefit of BVP in CHF should theoreticall...

Cardiac resynchronization therapy (CRT) with biventricular pacing (BVP) is well-established in patients reduced left ventricular ejection fraction (LVEF), heart failure and wide QRS or indication for pacing. BVP achieves CRT through non-physiological fusion of paced wave-fronts from the RV endocardium LV epicardium. Conduction system utilizing bundle branch area has recently shown to be a safe ...

Solutions to ordinary differential equations with boundary conditions (BVPs) are often approximated by a numerical method. Typically, this method involves setting up a large system of nonlinear equations for which the unknowns are discrete numerical approximations of the solution to the BVP. This nonlinear system has the potential to be large. Therefore, routines that parallelize both the gener...

We report here on three patients who underwent biventricular pacing (BVP) for severe heart failure and the problems encountered with pseudo-bipolar left ventricular (LV) lead configuration. With this configuration, right ventricular anode capture with simultaneous biventricular stimulation was noted at higher output during the isolated LV pacing mode in these patients, which forced us to progra...

In this paper, the authors establish bounds for Hardy-Littlewood maximal operator defined on a finite directed graph G→ in space BVp(G→) of bounded p-variation functions. More precisely, obtain BVp norms MG→ some graphs G→.