Existence Theorem for a Fractal Sturm-Liouville Problem [PDF]
In this article, using a new calculus defined on fractal subsets of the set of real numbers, a Sturm-Lioville type problem is discussed, namely the fractal Sturm-Liouville problem.
Allahverdiev, B. P., Tuna, H.
core
Generalizing Liouville-type Problems for Differential 1-Forms from Lq Spaces to Non-Lq Spaces
We obtain Liouville-type results for closed and p-pseudo-coclosed differential 1-forms ! with energy of lim inf r!1 1 r2 R B(x0;r) j!jqdv \u3c 1 (that is, 2-finite growth), which extends finite q-energy ( R M j!jqdv \u3c 1) in Lq spaces to infinite q ...
Li, Ye, Wu, Lina
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A NONLINEAR LIOUVILLE THEOREM FOR FRACTIONAL EQUATIONS IN THE HEISENBERG GROUP
. We establish a Liouville-type theorem for a subcritical nonlinear problem, involving a fractional power of the subLaplacian in the Heisenberg group. To prove our result we will use the local realization of fractional CR covariant operators, which can ...
Jinggang Tan, Eleonora Cinti
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Positive solutions for fractional differential equations with variable coefficients
In this article, we study the existence of the positive solutions for a class of differential equations of fractional order with variable coefficients.
Yi Chen, Zhanmei Lv
doaj
Second-order
We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales.
doaj
A generalization of Gordon's theorem and applications to quasiperiodic Schrodinger operators
We present a criterion for absence of eigenvalues for one-dimensional Schrodinger operators. This criterion can be regarded as an L^1-version of Gordon's theorem and it has a broader range of application.
David Damanik, Gunter Stolz
doaj
Symplectic Structures on the Space of Space Curves. [PDF]
Bauer M, Ishida S, Michor PW.
europepmc +1 more source
Fractional-order analysis of a fear-induced ecoepidemiological predator-prey model with optimal control and bifurcation dynamics. [PDF]
Alomari FAH, Bahaa GM.
europepmc +1 more source
A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]
Vinoth R, Jayalakshmi M.
europepmc +1 more source
Precise asymptotic spreading behavior for an epidemic model with nonlocal dispersal
This paper is to derive the precise asymptotic spreading behavior for an epidemic model with nonlocal dispersal. The proof is based on a Liouville type theorem on the positive bounded entire solutions.
Guo, Jong-Shenq;Poh, Amy Ai Ling;Shimojo, Masahiko
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