[PDF] Top 20 Existence theorems for a second order m point boundary value problem at resonance

... It is .i nteresti.ng to note that while in the nonrcsonance case we had to study the m-point boundary valueproblem, using the results for the three-point boundary value problem, it is ju[r] ... See full document

... a second-order m-point boundary value problem at reso- nance by using a new fixed point theorem of increasing operators, and in this paper we use this method of Wang ... See full document

... the existence of three positive solutions to a type of three-point boundary value problems for second-order impulsive and delay differential equations, and we obtain the result ... See full document

... We establish new results on the existence of positive solutions for the multi-point boundary value problem at resonance on the half-line. Our results are based on the ... See full document

... [8] S. Li, “Positive Solutions of Nonlinear Singular Third- Order Two-Point Boundary Value Problem,” Journal of Mathematical Analysis and Applications, Vol. 323, No. 2006, pp. 413-425. ... See full document

... By using Bai and Ge’s fixed point theorem [], we get the existence of at least three sym- metric positive solutions for the BVP (.). In fact, our results are new when T = R (the differential case) and T = ... See full document

... Define the linear operator T : C → C. For each x ∈ C, T [x](t) = y(t) is the unique solution of (). Thus, the existence of the solution of Problem () is equivalent to the existence of the fixed ... See full document

... the existence and multiplicity for positive solution of BVP ...fixed point index ...fixed point theorem in cone, we will establish the existence and multiplicity positive solution of BVP ... See full document

... the existence results of solutions to the more general systems by using such a principle and the perturbation technique ...the existence results to the p-Laplacian system ...the second- order ... See full document

... earliest boundary value problem studied is Dirichlet prob- ...equation. Boundary value problems are most common in physics, such as wave ...of boundary value problems, ... See full document

... the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system does not apply to the problem ...the problem (1.1) ... See full document

... years boundary value problem on time scales has received considerable attention ...the existence of solutions to dynamic equations on time scales is observed, for example, see ... See full document

... the existence of solutions to the fractional order boundary value problem ...fixed point theorems such as Banach contraction principle and Schaefer’s fixed point ... See full document

... k –  M, t ∈ [, ], for all h ∈ E. (.) So, by the Arzela-Ascoli theorem, we know that T : E → E is a compact operator. Again, because T is a bounded operator on E owing to (.), T : E → E is continuous, and ... See full document

... an existence result for weak solutions of the boundary value problem of nonlinear differential equations of second ...fixed point theorem in conjunction with the tech- nique of ... See full document

... [16] B. Ahmad, J.J. Nieto, A. Alsaedi, M. El-Shahed, “A study of nonlinear Langevin equation involving two fractional orders in different intervals,” Nonlinear Anal. Real World Appl., vol.13, pp.599-606, 2012. ... See full document

... [1] V. A. Ilin and E. I. Moiseev, Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects, J. Differential Equations ... See full document

... We will use the continuation theorem of coincidence degree [2] to show a general theorem for the existence of solutions to the problem (1.1)–(1.2) and then use it to get concrete existence conditions ... See full document

... fixed point theorems are always used to address the exis- tence and uniqueness of solutions ...ary value problems have been transformed into the Hammerstein integral equations, it is natural to study ... See full document

... multi-point boundary value problems for linear second-order ordinary dif- ferential equations goes back to the method of separation of variables ...nonlocal boundary value ... See full document