[PDF] Top 20 Analytical solution to the nonlinear singular boundary value problem arising in biology

... which arises in biology and physiology problems. In boundary conditions (.), we have, in fact, A = , A and B have the same sign and C ∈ R , but it is supposed, without loss of generality, A >  and B, ... See full document

... where x, y ∈ N. Clearly, the nonempty compact set S λv − , μv − is not a retract of its boundary ∂S {λv − , μv − } see, e.g., 16. All assumptions of topological principle of Wa ˙zewski are valid, and, by Theorem ... See full document

... Our paper is organized as follows. In Section , we present some lemmas and prelimi- naries. Section  discusses the existence of multiple positive solutions for BVP (.)-(.) when f is positive. In Section , we ... See full document

... semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous ...a nonlinear ordinary differential equation ... See full document

... We apply the method of quasilinearization to nonlinear singular differential system with ‘maxima’. By assuming suitable conditions on the function f , we see that there exist two monotone sequences which ... See full document

... years, boundary value problems of fractional differential equations with or with- out p-Laplacian operator have been widely ...of nonlinear analysis theory and methods, many existence and multiplicity ... See full document

... MHD boundary layer of electrically conducting Casson fluid fast a shrinking ...form analytical solution of the resulting third order nonlinear boundary value problem with ... See full document

... with boundary value problems, exhibiting a singularity of the first and second kind; see 15, 16, ...the analytical properties of the solution u are derived for nonhomogeneous terms being at ... See full document

... In this section we solve nonlinear singular boundary value problem of the form Eq. () with the mixed conditions Eq. () and Eq. () by using the operational matrix of derivative [] ... See full document

... exact solution are known as analytical meth- ...equations. Singular initial and boundary value problems for ordinary differential equations arises in many fields such as gas dynamics, ... See full document

... Many problems that arise in applied mathematics do not have the whole real line as their natural domain. There are two point of view. One is to change variables in the problem so that, in the new variables, the ... See full document

... positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone ...the problem is also ... See full document

... this problem was considered in 6 where the authors proved the existence of one positive solution for ...and nonlinear alternative of Leray-Schauder type in a cone and assuming certain hypotheses on ... See full document

... The purpose of this paper is to establish existence and uniqueness result of positive solution to SBVP1.1, 1.2 under conditions that are weaker than conditions in 7 and hence improve the result in 7 by using ... See full document

... The semilinear case p = 2 with γ < 1 and f = 0 has been studied extensively in both bounded and unbounded domains (see [5, 6, 7, 10, 11, 12, 14, 20] and their references). In particular, Lair and Shaker [11] showed ... See full document

... a solution of the nonlinear boundary value problem for a nonlinear differential equation with ‘maxima’ is ...a boundary condition of anti-periodic type is ...a ... See full document

... The aim of the present paper is to obtain conditions for the existence and uniqueness of an absolutely continuous solution of a singular boundary value problem for neutral equations, usi[r] ... See full document

... of boundary value problems (BVPs) for nonlinear q-difference equations is still in an early stage and many aspects of this theory need to be ...of nonlinear third-order q-difference equations, a ... See full document

... The singular two-point boundary value problems of the form ...the singular boundary value ...for singular problems was considered in Ciarlet et ... See full document

... larities at the points a and b, are studied. Also the ordinary differential equations with strong singularities under two-point boundary conditions are studied in the articles [, ] by Kiguradze. In the papers ... See full document