Results 91 to 100 of about 139,246 (209)

Liouville theorems in the Dual and Double Planes [PDF]

, 2017
Although the generalized complex planes have the same form as the complex plane, theorems and concepts that have been proven true for complex numbers cannot necessarily be extended to dual and double numbers.
Flim, Rachel, DenHartigh, Kyle
core   +1 more source

Existence of positive solutions for fractional differential equations with Riemann-Liouville left-hand and right-hand fractional derivatives

Electronic Journal of Differential Equations, 2004
Combining properties of Riemann-Liouville fractional calculus and fixed point theorems, we obtain three existence results of one positive solution and of multiple positive solutions for initial value problems with fractional differential equations.
Shuqin Zhang
doaj  

Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations

Abstract and Applied Analysis, 2013
We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and .
Changlong Yu, Jufang Wang
doaj   +1 more source

Liouville\u27s theorems for Lévy operators [PDF]

Let $L$ be a Lévy operator. A function $h$ is said to be harmonic with respect to $L$ if $L h = 0$ in an appropriate sense. We prove Liouville\u27s theorem for positive functions harmonic with respect to a general Lévy operator $L$: such functions are ...
Kwaśnicki, Mateusz, Grzywny, Tomasz
core   +1 more source

Positive solutions for a class of singular boundary-value problems

Electronic Journal of Differential Equations, 2006
This paper concerns the existence and multiplicity of positive solutions for Sturm-Liouville boundary-value problems. We use fixed point theorems and the sub-super solutions method to two solutions to the problem studied.
Dang Dinh Hai
doaj  

Extensions of Liouville theorems

Journal of Mathematical Analysis and Applications, 1982
AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
openaire   +2 more sources

Fredholm, Hodge and Liouville theorems on noncompact manifolds

, 1987
Fredholm, Liouville, Hodge, and L 2 {L^2} -cohomology theorems are proved for Laplacians associated with a class of metrics defined on manifolds that have finitely many ends.
Robert Lockhart
core   +1 more source

The Cotangent Derivative with Respect to Another Function: Theory, Methods and Applications

Fractal and Fractional
This paper introduces a generalization of the Riemann–Liouville and Caputo cotangent derivatives and their corresponding integrals, known as the Riemann–Liouville and Caputo cotangent derivatives with respect to another function (RAF).
Lakhlifa Sadek, Ali Algefary
doaj   +1 more source

Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse

Abstract and Applied Analysis, 2013
In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
doaj   +1 more source

Liouville’s theorem [PDF]

Pacific Journal of Mathematics, 1969
openaire   +3 more sources