[PDF] Top 20 The Existence and Behavior of Solutions for Nonlocal Boundary Problems

... a nonlocal term stands, for example, for a model problem arising from quasistatic ...linear problems can be found in 3–5. As far as we know, this kind of nonlocal boundary condition appeared ... See full document

... turbulent behavior of real flows, using invariant measures for the Euler equation [], in modeling aggregation of cells via interac- tion with a chemical substance (chemotaxis) ...case, problems with the ... See full document

... lower solutions, and finally establishing some new results on existence and asymptotic behavior of positive solutions for the equation by using the fixed point ... See full document

... The main purpose of this article is to discuss the existence of solutions of equation (.) by means of Schauder’s fixed point theorem. We only need to consider the behavior of g and f on some closed ... See full document

... Webb, JRL, Lan, KQ: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type.. Topolog Methods Nonlinear Anal J Ju[r] ... See full document

... of solutions of (1.1), (1.2) implies uniqueness of solutions of ...of solutions of ...the existence of solutions for boundary value problems; see for example [1, 9– 11, ... See full document

... real-life problems usually results in functional equations, of various types appear in many applications that arise in the fields of mathematical analysis, nonlinear functional analysis, mathematical physics, and ... See full document

... with nonlocal boundary condition ...of solutions. Firstly, we establish the global existence and finite time blow-up of the ...all solutions which blow ... See full document

... Dirichlet boundary, which leads to the appearance of blowup, does not influence the precise asymptotic behavior of solutions near the blowup time and the blowup rate exponents p 1/pq − 1 and q 1/pq − ... See full document

... Local in time existence of positive classical solutions of (1.1) can be obtained by using fixed point theorem [21], the representation formula and the contraction map- ping principle as in [13]. By the ... See full document

... the density of a population subject to spreading. If γ = , then we get the well-known Carrier equation. The fact that (.) appears in some applied mathematics attracts a lot of attention. With the aid of the ... See full document

... Remark If N = 1, 2, 3 and the nonlinearity f is 3-suplinear at infinity, Sun and Tang in [7] obtained a nontrivial solution for problem (1) by using the local linking theorem due to Li and Willem. In [8], when the ... See full document

... For the reader’s convenience, we have presented a detailed construction of the pro- jections onto the ker(L) and Im(L). For the case of periodic boundary conditions, we refer the reader to D.C. Lewis [9]; for ... See full document

... Motivated by the works mentioned, in this paper, we consider the coupled system (.). The main features of this paper are as follows. Firstly, we have more general integral boundary conditions. Secondly, we ... See full document

... By using the Four functionals fixed point theorem and Five functionals fixed point theorem, we obtain the existence criteria of at least one positive solution and three positive solutions for the BVP 1.3. ... See full document

... defined u ∈ U . Then, from the discussion and Theorem 2.1, equation (2.9) has a nontrivial solution on a subinterval of length less than `. But, by the minimality of `, such a boundary value problem can have only ... See full document

... value problems for nonlinear differential equations of fractional order,” Nonlinear Analysis: Theory, Methods & Applications, ...“Nontrivial solutions for a nonlinear multi-point boundary value ... See full document

... The purpose of this paper is to study the existence of solutions for nonlocal BVP 1.1, 1.2 at resonance case i.e., g1 1 and establish some existence results under nonlinear growth restriction ... See full document

... which is called the Kirchhoff equation. This equation is an extension of the classical d’Alembert’s wave equation by considering the effect of the changes in the length of the string during vibrations. A distinguishing ... See full document

... equations boundary value problems with p- Laplacian operator have also received much attention and have developed very rapidly, see ...and nonlocal boundary ... See full document