This paper is concerned with a boundary value problem (BVP) for discrete Sturm-Liouville equation point interaction and conditions depending on hyperbolic eigenvalue parameter. presents some spectral scattering properties of this BVP in terms Jost solution, solutions, function, continuous spectrum. In addition, the resolvent operator obtained to get eigenvalues. Furthermore, an example consider...

In this work we introduce a rigorous computational method for finding heteroclinic solutions of a system of two second order differential equations. These solutions correspond to standing waves between rolls and hexagonal patterns of a two-dimensional pattern formation PDE model. After reformulating the problem as a projected boundary value problem (BVP) with boundaries in the stable/unstable m...

This paper describes the diagnostic criteria for bilateral vestibulopathy (BVP) by the Classification Committee of the Bárány Society. The diagnosis of BVP is based on the patient history, bedside examination and laboratory evaluation. Bilateral vestibulopathy is a chronic vestibular syndrome which is characterized by unsteadiness when walking or standing, which worsen in darkness and/or on une...

Bilateral vestibulopathy (BVP) is defined as the impairment or loss of function of either the labyrinths or the eighth nerves. Patients with total BVP due to bilateral vestibular nerve section exhibit difficulties in spatial memory and navigation and show a loss of hippocampal volume. In clinical practice, most patients do not have a complete loss of function but rather an asymmetrical residual...

In this paper we have examined the spectra of the operator D(r, 0, 0, s) on sequence spaces `p and bvp.

A scalar nonlinear impulsive differential equation with a delay and generalized proportional Caputo fractional derivatives (IDGFDE) is investigated. The linear boundary value problem (BVP) for the given set up. explicit form of unique solution BVP in special case obtained. This formula generalization without any as well derivatives. Furthermore, this integral used to define operator applied det...

Keywords: Discrete Homological nontrivial critical point Morse theory Local linking a b s t r a c t In this paper, the existence and multiplicity results of solutions are obtained for the discrete nonlinear two point boundary value problem (BVP) ÀD 2 uðk À 1Þ ¼ kf ðk; uðkÞÞ k 2 þ is a parameter. By using the critical point theory and Morse theory, we obtain that the above (BVP) has solutions fo...

We will prove existence and uniqueness theorems for solution of the boundary value problem x∆∆(t) = f(t, xσ(t)), x(a) = A, x(σ2(b)) = B for t in a measure chain T. In one of our results we use upper and lower solutions to prove the existence of a solution to this boundary value problem (BVP). We then use this result to show that if for each fixed t, f(t, x) is strictly increasing in x, then thi...

* Correspondence: [email protected] Department of Mathematics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, P. R. China Full list of author information is available at the end of the article Abstract This article is concerned with the existence of nontrivial solutions for a non-positive fourth-order two-point boundary value problem (BVP) and the existence of positive solutions for a s...