[PDF] Top 20 Existence and global behavior of positive solutions for some eigenvalue problems

... Next, we give a nonexistence result under some restrictions on the function a. So we as- sume that the kernel V is self-adjoint, namely for each nonnegative measurable functions h, k in we have Vh(x)k(x) dx = ... See full document

... Santanilla, “Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary di ff erential equations,” Journal of Mathematical Analysis and Applications, v[r] ... See full document

... give some lemmas which show the re- lationship among the solution, sub-solution, and super-solution and the relationship be- tween the solution and the nonlinear term f and prove the existence of an ... See full document

... value problems have attracted a lot of attention in the recent literature, see ...the existence of nonnegative solution of right focal boundary value problem on time scales, see ...the existence of ... See full document

... for all ζ ∈ R, the function z – → f (z, ζ ) is measurable and for almost all z ∈ , the func- tion ζ – → f (z, ζ ) is continuous), which exhibits strictly (p – )-sublinear growth in the ζ -variable near + ∞ . The aim of ... See full document

... the existence of a well-ordered pair of lower and upper solutions α ≤ β is sufficient to ensure the existence of a solution in the sector enclosed by ... See full document

... the existence, nonexistence, uniqueness, and multiplicity of positive solutions for a class of eigenvalue problems of nonlinear fractional differential equations with a nonlinear ... See full document

... Such problems were first studied by Zhang and Feng ...obtained existence results of positive solutions by using fixed point theorems in a ...value problems, especially second-order ... 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

... the global continuation theorem, the generalized Picone identity, and a fixed point index theorem for the index ...p-Laplacian problems and also prove the existence of unbounded continuum of ... See full document

... 2 Global existence, boundedness, and asymptotical behavior of solutions In this section, we consider the global existence, boundedness, and asymptotical behavior of the ... See full document

... that solutions with negative initial energy blow up in finite ...is global existence or alternatively finite time ...that solutions with negative energy continue to exist globally in time t if ... See full document

... Naturally, we hope that there are some interesting results for (.) that are similar to those in (.) and (.) in [, ] and references therein. Notice that the methods used in [–, –, , –] are ... See full document

... The existence of positive solutions is established for boundary value problems defined within generalized Riemann–Liouville and Caputo fractional ...proposed problems into integral ... See full document

... 11 I. Rach ˚unkov´a and J. Tomeˇcek, “Singular nonlinear problem for ordinary differential equation of the second-order on the half-line,” in Mathematical Models in Engineering, Biology and Medicine: International ... See full document

... the global behavior of nonlinear differ- ence equations of a big order, recently, many researchers have investigated the beha- vior of the solution of difference equations for example: Elabbasy et ...the ... See full document

... of positive solutions for quasilinear elliptic systems have been broadly ...the solutions of elliptic systems involving quasilinear operators in divergence form in an open set Ω ⊂ R N ... See full document

... Symmetry has been widely used in science, engineering and technology. The reason is that the symmetry has not only its theoretical value in studying the metric manifolds and symmetric graph and so forth, but also its ... See full document

... In recent years, there has been considerable progress on the study of semipositione problems (F (0) < 0 but finite)(see [2],[3],[6]). Many results have been obtained on kind of infinite semipositone ... See full document

... weak solutions defined on I = R is uniformly bounded on R, and thus we can further construct a set of short trajec- tories to which any finite energy weak solution is asymptotically attracted by Theorem ... See full document