Results 101 to 110 of about 646,050 (293)

Oscillation theorems for nonlinear fractional difference equations

Boundary Value Problems, 2018
In this study, we discuss some theorems related to the oscillatory behavior of nonlinear fractional difference equations equipped with well-known fractional Riemann–Liouville difference operator.
Hakan Adiguzel
doaj   +1 more source

Multiple Solutions for Second-Order Sturm–Liouville Boundary Value Problems with Subquadratic Potentials at Zero

Journal of Mathematics, 2021
We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x,  a.e. t∈0,1x0cos  α−P0x′0sin  α=0x1cos  β−P1x′1sin  β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely ...
Dan Liu, Xuejun Zhang, Mingliang Song
doaj   +1 more source

LIOUVILLE THEOREMS FOR f-HARMONIC MAPS INTO HADAMARD SPACES [PDF]

, 2013
In this paper, we study harmonic functions on weighted manifolds and harmonic maps from weighted manifolds into Hadamard spaces introduced by Korevaar and Schoen. We prove various Liouville theorems for these har- monic maps.
B. Hua, Shiping Liu, C. Xia
semanticscholar   +1 more source

A Liouville theorem on an analytic space

Journal of the Mathematical Society of Japan, 1993
Let \(M\) be a reduced analytic space of dimension \(m\) which possesses a non-degenerate (at some nonsingular point of \(M)\) \(d\)-closed positive current \(\omega \circ f\) bidegree \((m-1,m-1)\). If there exists an unbounded exhaustion function whose level hypersurfaces satisfy a slow volume growth condition relative to \(\omega\), then the image ...
openaire   +4 more sources

Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, EarlyView.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

Liouville theorems for fractional Hénon equation and system on $\mathbb{R}^n$

, 2015
In this paper, we establish some Liouville type theorems for positive solutions of fractional Henon equation and system in $\mathbb{R}^n$. First, under some regularity conditions, we show that the above equation and system are equivalent to the some ...
Jingbo Dou, Huaiyu Zhou
semanticscholar   +1 more source

Liouville's theorem in conformal geometry

Journal de Mathématiques Pures et Appliquées, 2007
AbstractLiouville's theorem states that all conformal transformations of En and Sn (n⩾3) are restrictions of Möbius transformations. As a generalization, we determine all conformal mappings of semi-Riemannian manifolds preserving pointwise the Ricci tensor.
Wolfgang Kühnel, Hans-Bert Rademacher
openaire   +2 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

C0$C^0$ Lagrangian monodromy

Bulletin of the London Mathematical Society, EarlyView.
Abstract We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕ$\phi$ on the cohomology of a relatively exact Lagrangian fixed by ϕ$\phi$ is the identity. This extends results of Hu–Lalonde–Leclercq [Geom. Topol. 15 (2011), no. 3, 1617–1650] and the author [Selecta Math. (N.S.) 30 (2024), no. 2, Paper No.
Noah Porcelli
wiley   +1 more source