Results 71 to 80 of about 1,963 (215)

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

Properties of a subclass of analytic functions defined by Riemann-Liouville fractional integral applied to convolution product of multiplier transformation and Ruscheweyh derivative

Demonstratio Mathematica, 2023
The contribution of fractional calculus in the development of different areas of research is well known. This article presents investigations involving fractional calculus in the study of analytic functions. Riemann-Liouville fractional integral is known
Alb Lupaş Alina, Acu Mugur
doaj   +1 more source

On Holditch and Liouville theorems

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995
The authors examine the relationship between the Liouville theorem in mechanics and the Holditch theorem in geometry. They first start by introducing well-known results of Hamiltonian mechanics when the Hamiltonian comes from a Riemannian metric \[ ds^2=g_{ij}dx^idx^j \] on the configuration space. In particular, the authors prove that the solutions of
Hacisalihoǧlu, H. H., Amirov, A. Kh.
openaire   +4 more sources

Advancing Heliophysics and Space Weather Modeling Through Open Science

Space Weather, Volume 24, Issue 6, June 2026.
Abstract We present a community‐wide effort to develop a strategy and action plan to advance heliophysics and space weather modeling through open science. While open science has the potential to enhance the quality and pace of scientific discovery, its application to scientific modeling requires more careful consideration regarding open data and open ...
C. Corti, M. M. Kuznetsova, M. A. Reiss, J. Yue, J. Karpen, C. N. Arge, F. Bacchini, C. Bard, S. Bruinsma, R. M. Caplan, L. K. S. Daldorff, P. J. Deka, C. R. DeVore, S. Elvidge, N. Ganushkina, J. D. Huba, B. V. Jackson, V. Jordanova, J. A. Linker, H. Liu, J. G. Luhmann, S. Markidis, P. Mayank, V. Merkin, N. Moens, D. Odstrcil, Y. A. Omelchenko, M. Palmroth, S. Poedts, A. J. Ridley, Y. Shou, V. Tenishev, D. R. Themens, G. Toth, W. Wang, R.‐P. Wilhelm, M. A. Young, B. Cecconi, M.‐Y. Chou, D. De Zeeuw, G. L. Delzanno, C. Didigu, M. El Alaoui, S. Fung, J. Green, Z. Huang, L. K. Jian, L. J. Landwer, M. Lesko, P. MacNeice, A. Masson, M. L. Mays, P. M. Mehta, M. S. Miesch, E. Palmerio, M. Petrenko, E. Provornikova, L. Rastätter, L. Rusaitis, N. Sachdeva, E. Samara, D. Sur, A. Taktakishvili, J. Topper, T. Tsui, C. Verbeke, J. Wang, C. Wiegand, M. Wiltberger, Y. Zheng, M. M. Bisi, M. K. Georgoulis, T. Kodikara, T. Pulkkinen, A. Chartier, D. da Silva, A. Faturahman, K. Garcia‐Sage, D. Kondrashov, V. E. Ledvina, W. Liu, C. Pandey, E. Resnick, C. Shi, R. S. Weigel, K. Whitman, I. Zakharenkova, K. Zhang   +87 more
wiley   +1 more source

Rigidity of balls in the solid mean value property for polyharmonic functions

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. We also, provide a quantitative version of the same result.
Nicola Abatangelo
wiley   +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

Stable factorization of the Calderón problem via the Born approximation

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé, Fabricio Macià, Cristóbal Meroño, François Nicoleau   +3 more
wiley   +1 more source

Liouville type theorems for mappings with bounded (co)-distortion [PDF]

We obtain Liouville type theorems for mappings with bounded $s$-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded $q$-codistorsion.GR-TRClass.
Vodop'yanov, Sergei, Troyanov, Marc
core   +1 more source

On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative

Journal of Function Spaces, 2021
Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
doaj   +1 more source

Probabilistic correlation functions of the Schwarzian field theory

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley   +1 more source