[PDF] Top 20 Approximation of Solutions for Second-Order -Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization

... the method of upper and lower solutions 1–7 manifests itself as an effective and flexible mechanism that offers theoretical as well as constructive existence results in a closed set, generated by the lower ... See full document

... and approximation of the solutions of a nonlinear nonlocal three-point boundary value problem involving the forced Duffing equation with mixed ...the generalized ... See full document

... positive solutions for third-order two-point or multi-point BVPs has received considerable attention; we mention a few works: [–] and the refer- ences ...positive solutions with ... See full document

... value problems analytically is possible only in very rare ...two point boundary value problems, in [6] Feng and Li solved a second-order Neumann boundary ... See full document

... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems and arise in the study of ... See full document

... of second-order equation, the treat- ment method of second-order system does not apply to the problem ...positive solutions of the problem ... See full document

... and since L -1 can be regarded as a compact operator from Y to E, it is clear that finding a solution (l, u) of (3.8) in ℝ × E is equivalent to finding a solution of (3.9) in ℝ × E. Now, by the similar method used ... See full document

... multi-point boundary value prob- lems for linear and nonlinear ordinary differential equations by using various methods, such as Leray-Schauder fixed point theorem, coincidence degree theory, ... See full document

... mean value theorem with the comparison principle, we consider the existence of positive solutions to the BVP respectively under the case 0 < n i=1 α i η i ≤ 1 and ... See full document

... shooting method, we first rewrite each system as a first order initial value system then solve the initial value problems involved using the ...The solutions corresponding to the ... See full document

... (the generalized Cauchy ...a nonlocal initial ...of solutions to the Cauchy and the periodic problems for semilinear differential inclusions in a Banach space were obtained in the authors’ ... See full document

... equation boundary value pro- ...positive solutions for the fourth-order boundary value problem has been studied by many authors using non- linear alternatives of Leray-Schauder, ... See full document

... Boundary value problems (BVPs) for nonlinear differential equations arise in a variety of areas of applied mathematics, physics and in variational problems of control ...A point of ... See full document

... Nth order BVPs using ...the method. Section 4 offers numerical stimulation of the method on some selected thirteen-order, twelve-order and ten-order boundary value ... See full document

... The method of generalized quasilinearization for second-order boundary value prob- lems has been extended when the forcing function is the sum of 2-hyperconvex and ... See full document

... where f : [0, 1] × [0, ∞ ) × R → [0, ∞ ) is a continuous function, μ > 0, η ∈ (0, 1), μη < 1. Readers may find that the concavity is crucial in giving some important estimates and in defining an appropriate cone, and ... See full document

... repeat. (37) For numerical calculations, same parameters given by Eq. (31) are used. The numerical results in Fig. 3 do not include reflection by walls, and the accurate results are obtained for all cases using Harmonic, ... See full document

... The study of system of BVPs has also fascinated many authors. System of BVPs with continuous nonlinearity can be seen in 20–22 and the case of singular nonlinearity can be seen in 8, 21, 23–26. Wei 25, developed the ... See full document

... Gupta, “Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation,” Journal of Mathematical Analysis and Applications, vol.. Tsamatos[r] ... See full document

... Boundary value problems on an infinite interval arise quite naturally in the study of radially symmetric solutions of nonlinear elliptic equations and in various applications such as an ... See full document