[PDF] Top 20 Existence of solutions for second-order three-point integral boundary value problems at resonance

... 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

... the existence of solutions for a class of fractional differential equations with multi-point boundary value problems at resonance, and the dimension of the kernel for a ... See full document

... The existence of solutions for integer order differential equations with specific boundary conditions and resonance scenarios have been studied by many authors (see [–] and the ... See full document

... the existence of solutions is relatively straightforward when L is invertible, the more interesting case is when ker(L) or, equivalently, ker(B + DΓ(1)) is ...of problems in differential and difference ... See full document

... at resonance, which have rarely been considered, and thus we need to over- come some new ...difficulties. Second, we give reasons for every important step, which in turn makes this paper easier to be ... See full document

... of order 1 < α ≤ 2, 0 < η < 1, f ∈ C([0, 1] × ...intermediate value theorem, we obtain a sufficient condition for the existence of the solutions for the above fractional order ... See full document

... establish existence results of positive solutions for higher-order multi-point boundary value problems at resonance for ordinary differential equation u n t ft, ut, ... See full document

... lower solutions method, we deal with the existence of multiple solutions to three-point boundary value problems for second-order differential equation ... See full document

... x atx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition. By exploiting Green’s functions, eigenvalues, rotation numbers, and their estimates, he gave several ... See full document

... for some p ≥ 1 and has countably many singularities in 0, 1/2. We show that the problem 1.5 has countably many solutions if a and f satisfy some suitable conditions. Our approach is based on the Krasnosel’skii ... See full document

... of boundary value problems with integral boundary conditions; for example, see Liu, Sun, Zhang, and Wu [30], Zhang, Feng, and Ge [31], Zhang and Ge [32], Hao et ...two-, three-, ... See full document

... multi-point boundary value problems has received increas- ing ...the existence and multiplicity results, see [1, 2, 3, ...multi-point boundary value problems ... See full document

... 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

... This paper is organized as follows. In Section , we recall some properties of the lattice, new fixed point theorems and some lemmas that will be used to prove the main results. In Section , we prove the main ... See full document

... and integral boundary value problems for ODEs and their systems play an important role both in theory and ...application. Boundary value problems with nonlocal ... See full document

... of solutions of two- point, three-point, multi-point, and integral boundary value problems for nonlinear or- dinary differential equations and fractional ... See full document

... From above literature, we can see that the existence and multiplicity results are lar- gely based on the assumption that t and u are separated in nonlinearity term. It is interesting to know what will happen if t ... See full document

... Higher-order boundary value problems were discussed in many papers in recent years; for instance, see 1–22 and references ...the boundary conditions in the above-mentioned references ... See full document

... consider three-point boundary value problems for second order impulsive differential equations with an arbitrary finite number of ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...the existence of solutions and positive ... See full document