[PDF] Top 20 Boundary value problems for modified Helmholtz equations and applications

... obtain second order generalized integral representations and solve some Dirichlet type problems for modified Helmholtz equations. We define some integral operators which are the generalization of ... See full document

... no positive solution, respectively. By giving some examples, we will show how our results may be applied to obtain eigenvalues yielding the existence of positive solutions to a vari- ety of system of boundary ... See full document

... similar problems, but for Tricomi-type equations, while studying BVPs which describe transonic flows in fluid ...tant boundary value problems that, in the case of linear mixed-type ... See full document

... Fang, “On positive solutions of boundary value problems for second-order functional di ff erential equations on infinite intervals,” Journal of Mathematical Analysis and Applications , vo[r] ... See full document

... The boundary value problems are more natural for applications and play an important role in the contemporary mathematical ...differential equations, with more reason to the case of ... See full document

... differential equations have received more and more atten- ...physical applications such as a non-Markovian diffusion process with memory [], charge transport in amorphous semi- conductors [], propagations ... See full document

... In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application we consider ... See full document

... Santanilla, “Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary di ff erential equations,” Journal of Mathematical Analysis and Applications, v[r] ... See full document

... differential equations have been of increasing importance for the past decades due to their diverse applications in science and engineering such as the memory of a variety of materials, signal identification ... See full document

... In Section 3.1 we saw that the global truncation error of Euler’s method is O(h), which would seem to imply that we can achieve arbitrarily accurate results with Euler’s method by simply choosing the step size ... See full document

... nonlocal boundary value problem is ...as applications, coercivity estimates in Hölder norms for approximate solutions of the multipoint nonlocal boundary value problems for mixed ... See full document

... mixed boundary value problem needs a computational domain of sample ...differential equations are more attracting and attention, since the fact that orthogonality of compactly supported ... See full document

... The modified Helmholtz equation, as paper [2] pointed out, appears in many applications, such as in implicit marching schemes for the heat equation, in De- byeuckel theory, in the linearization of ... See full document

... the interval 0 ≤ ≤ 1 and, further, that ( ) > 0 and ( ) > 0 at all points in 0 ≤ ≤ 1. These assumptions are necessary to render the theory as simple as possible while retaining considerable generality. It turns out ... See full document

... existence problems of positive solutions of boundary value problems have attracted much attention, see 10, 12, 15– 22 in the continuous case, see 15, 23–25 in the discrete case and 11, 13, 14, ... See full document

... parabolic equations have been studied by many authors (see for example [3, 4, 5, ...papers. Boundary value problems for the degenerate equation also were studied in the stationary case in ... See full document

... boundary value problems of two equal infinite co-axial circular strips in potential In the corresponding Newmann boundary value problems, the governing integral.. equations are of the ty[r] ... See full document

... reaction-diffusion equations with non-constant diffusivity and porous media equations, include mixed differential operators, that is, equations of the ... See full document

... study of singular nonlocal BVPs for nonlinear differential equations was initiated by Kiguradze and Lomtatidze [10] and Lomtatidze [11, 12]. Since then, more general non- linear singular nonlocal BVPs have been ... See full document

... Recently, in 27, Li and Nieto obtained some new results of the case that impulse effects on an infinite interval with a finite number of impulsive times. By using a fixed-point theorem due to Avery and Peterson 28, Li and ... See full document