Journal of Mathematical Analysis and Applications最新文献

英文中文

Optical soliton solutions of time-space nonlinear fractional Schrödinger's equation via two different techniques

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-18 DOI: 10.1016/j.jmaa.2025.129387

Waseem Razzaq , Asim Zafar , M. Raheel , Jian-Guo Liu

This paper contains the optical soliton solutions of the nonlinear Schrödinger equation in the different cases i.e. Kerr law, Power law of nonlinearity, Parabolic law of nonlinearity, dual-power law and log law based on two different techniques named, modified

(G^{'} / G^{2})

-expansion method and modified simplest equation method. As a result, a consequence of traveling wave solutions are obtained and are verified through MATHEMATICA. These solutions show that the suggested methods are effective, reliable and simple as compared to many other methods.

引用次数: 0

Explicit values of Bernoulli polynomials at rational numbers

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-17 DOI: 10.1016/j.jmaa.2025.129381

Florian Münkel , Lerna Pehlivan , Kenneth S. Williams

We give an explicit formula for the value of the Bernoulli polynomial

B_{2 k} (t)

when t is a rational number in the interval

(0, 1)

. When

t = \frac{1}{2}, \frac{1}{3}, \frac{2}{3}, \frac{1}{4}, \frac{3}{4}, \frac{1}{6}, \frac{5}{6}

the value of

B_{2 k} (t)

is known explicitly. In 1938 Emma Lehmer asked for the value of

B_{2 k} (t)

when the denominator of t is 5, 8, 10, or 12. We apply our formula to determine

B_{2 k} (t)

when the denominator of t is 5, 8, 10, and 12 thereby answering Lehmer's 87 year old question.

引用次数: 0

Asymptotic behavior of the coupled Allen-Cahn/Cahn-Hilliard system with proliferation term

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-17 DOI: 10.1016/j.jmaa.2025.129382

Ahmad Makki , Rim Mheich , Madalina Petcu , Raafat Talhouk

In this article, we investigate the coupled Allen-Cahn/Cahn-Hilliard equations with a proliferation term, which can model the growth of cancerous tumors and other biological entities. We focus on establishing the existence, uniqueness, and regularity of solutions, as well as analyzing their asymptotic behavior, with particular attention to the existence of finite-dimensional attractors. The system is considered under Dirichlet boundary conditions, and we introduce assumptions on the proliferation term to ensure dissipativity.

在本文中，我们研究了带有增殖项的 Allen-Cahn/Cahn-Hilliard 耦合方程，它可以模拟癌症肿瘤和其他生物实体的生长。我们的重点是建立解的存在性、唯一性和正则性，并分析其渐近行为，尤其关注有限维吸引子的存在。该系统是在 Dirichlet 边界条件下考虑的，我们引入了增殖项的假设，以确保分散性。

引用次数: 0

On some renormings of l2

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-17 DOI: 10.1016/j.jmaa.2025.129383

Bozena Piatek

Inspired by Melado and Llorens-Fustera (2013) [9] and Dutta and Veeramani (2021) [5], we analyse some renormings of

l_{2}

. In this class of spaces, we consider the existence of fixed points for two types of mappings: nonexpansive ones and mappings of asymptotically nonexpansive type.

引用次数: 0

Study of a new nonlinear Kaup-Newell equations by using nonlocal symmetry method

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-17 DOI: 10.1016/j.jmaa.2025.129379

Weiao Yang, Chen Wang, Yue Shi, Xiangpeng Xin

An important research topic in mathematical physics is the construction of high-dimensional integrable systems. First, based on the method of constructing a high-dimensional integrable system proposed by Lou et al. in this paper, a new (2+1)-dimensional Kaup-Newell (KN) equations are derived through the conservation laws of the (1+1)-dimensional KN equations. Subsequently, we study for the first time the new (1+1)-dimensional KN equations using nonlocal symmetric methods and with the help of constructed closed systems. We then obtained exact solutions of the KN equations, both explicit and special function solution.

引用次数: 0

A log-majorization version of Audenaert's inequality

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-14 DOI: 10.1016/j.jmaa.2025.129372

Saja Hayajneh , Fuad Kittaneh

For

i = 1, \dots, k

, let

A_{i}

and

B_{i}

be positive definite matrices. It is shown that

s {(\sum_{i = 1}^{m} A_{i} ♯_{t} B_{i})}^{r} ≺_{\log} s {({(\sum_{i = 1}^{m} B_{i})}^{\frac{t p r}{2}} {(\sum_{i = 1}^{m} A_{i})}^{(1 - t) p r} {(\sum_{i = 1}^{m} B_{i})}^{\frac{t p r}{2}})}^{\frac{1}{p}}

for all

r > 0

p > 0

and

t \in [0, 1]

. This is stronger than the inequalitywhere

A_{i}

commutes with

B_{i}

for each i and for all unitarily invariant norms, which has been proved by Audenaert. Applications of these inequalities shed some light on the solution of a question of Bourin.

引用次数: 0

Quasilinear Schrödinger equation involving critical Hardy potential and Choquard type exponential nonlinearity

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-13 DOI: 10.1016/j.jmaa.2025.129361

Shammi Malhotra , Sarika Goyal , K. Sreenadh

<div><div>In this article, we study the following quasilinear Schrödinger equation involving Hardy potential and Choquard type exponential nonlinearity with a parameter α<math><mrow><mo>{</mo><mtable><mtr><mtd><mo>−</mo><msub><mrow><mi>Δ</mi></mrow><mrow><mi>N</mi></mrow></msub><mi>w</mi><mo>−</mo><msub><mrow><mi>Δ</mi></mrow><mrow><mi>N</mi></mrow></msub><mo>(</mo><mo>|</mo><mi>w</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>2</mn><mi>α</mi></mrow></msup><mo>)</mo><mo>|</mo><mi>w</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>2</mn><mi>α</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>w</mi><mo>−</mo><mi>λ</mi><mfrac><mrow><mo>|</mo><mi>w</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>2</mn><mi>α</mi><mi>N</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>w</mi></mrow><mrow><msup><mrow><mo>(</mo><mo>|</mo><mi>x</mi><mo>|</mo><mi>log</mi><mo>⁡</mo><mrow><mo>(</mo><mfrac><mrow><mi>R</mi></mrow><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow></mfrac><mo>)</mo></mrow><mo>)</mo></mrow><mrow><mi>N</mi></mrow></msup></mrow></mfrac></mtd></mtr><mtr><mtd><mspace></mspace><mo>=</mo><mrow><mo>(</mo><msub><mrow><mo>∫</mo></mrow><mrow><mi>Ω</mi></mrow></msub><mfrac><mrow><mi>H</mi><mo>(</mo><mi>y</mi><mo>,</mo><mi>w</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>)</mo></mrow><mrow><mo>|</mo><mi>x</mi><mo>−</mo><mi>y</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>μ</mi></mrow></msup></mrow></mfrac><mi>d</mi><mi>y</mi><mo>)</mo></mrow><mi>h</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>w</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo><mspace></mspace><mtext>in </mtext><mspace></mspace><mi>Ω</mi><mo>,</mo></mtd></mtr><mtr><mtd><mi>w</mi><mo>></mo><mn>0</mn><mtext> in </mtext><mi>Ω</mi><mo>∖</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>,</mo><mspace></mspace><mspace></mspace><mi>w</mi><mo>=</mo><mn>0</mn><mtext> on </mtext><mo>∂</mo><mi>Ω</mi><mo>,</mo></mtd></mtr></mtable></mrow></math> where <math><mi>N</mi><mo>≥</mo><mn>2</mn></math>, <math><mi>α</mi><mo>></mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math>, <math><mn>0</mn><mo>≤</mo><mi>λ</mi><mo><</mo><msup><mrow><mo>(</mo><mfrac><mrow><mi>N</mi><mo>−</mo><mn>1</mn></mrow><mrow><mi>N</mi></mrow></mfrac><mo>)</mo></mrow><mrow><mi>N</mi></mrow></msup></math>, <math><mn>0</mn><mo><</mo><mi>μ</mi><mo><</mo><mi>N</mi></math>, <math><mi>h</mi><mo>:</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>×</mo><mi>R</mi><mo>→</mo><mi>R</mi></math> is a continuous function with critical exponential growth in the sense of the Trudinger-Moser inequality and <math><mi>H</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo><mo>=</mo><msubsup><mrow><mo>∫</mo></mrow><mrow><mn>0</mn></mrow><mrow><mi>t</mi></mrow></msubsup><mi>h</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>s</mi><mo>)</mo><mi>d</mi><mi>s</mi></math> is the primitive of h. With the help of the Mountain Pass Theorem and critical level, which is

引用次数: 0

Nonformal deformations of the algebras of holomorphic functions on the polydisk and on the ball in Cn

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-13 DOI: 10.1016/j.jmaa.2025.129371

Alexei Yu. Pirkovskii

<div><div>We construct Fréchet <math><mi>O</mi><mo>(</mo><msup><mrow><mi>C</mi></mrow><mrow><mo>×</mo></mrow></msup><mo>)</mo></math>-algebras <math><msub><mrow><mi>O</mi></mrow><mrow><mi>def</mi></mrow></msub><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> and <math><msub><mrow><mi>O</mi></mrow><mrow><mi>def</mi></mrow></msub><mo>(</mo><msup><mrow><mi>B</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> which may be interpreted as nonformal (or, more exactly, holomorphic) deformations of the algebras <math><mi>O</mi><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> and <math><mi>O</mi><mo>(</mo><msup><mrow><mi>B</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> of holomorphic functions on the polydisk <math><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>⊂</mo><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msup></math> and on the ball <math><msup><mrow><mi>B</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>⊂</mo><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msup></math>, respectively. The fibers of our algebras over <math><mi>q</mi><mo>∈</mo><msup><mrow><mi>C</mi></mrow><mrow><mo>×</mo></mrow></msup></math> are isomorphic to the previously introduced “quantum polydisk” and “quantum ball” algebras, <math><msub><mrow><mi>O</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> and <math><msub><mrow><mi>O</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><msup><mrow><mi>B</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math>. We show that the algebras <math><msub><mrow><mi>O</mi></mrow><mrow><mi>def</mi></mrow></msub><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> and <math><msub><mrow><mi>O</mi></mrow><mrow><mi>def</mi></mrow></msub><mo>(</mo><msup><mrow><mi>B</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> yield continuous Fréchet algebra bundles over <math><msup><mrow><mi>C</mi></mrow><mrow><mo>×</mo></mrow></msup></math> which are strict deformation quantizations (in Rieffel's sense) of <math><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup></math> and <math><msup><mrow><mi>B</mi></mrow><mrow><mi>n</mi></mrow></msup></math>. We also give a noncommutative power series interpretation of <math><msub><mrow><mi>O</mi></mrow><mrow><mi>def</mi></mrow></msub><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> and apply it to showing that <math><msub><mrow><mi>O</mi></mrow><mrow><mi>def</mi></mrow></msub><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math> is not topologically projective (and a fortiori is not topol

引用次数: 0

Subordination and related inequalities on a C⁎−algebra

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-12 DOI: 10.1016/j.jmaa.2025.129365

A.K. Mishra , P. Gochhayat

Let X be a

C^{⁎}

-algebra,

x \in X

and

‖ x ‖ < 1

. For a complex valued function f, which is analytic in

U = {λ \in C : | λ | < 1}

let

f (x)

be defined by the following integral:

f (x) = \int_{Γ} f (λ) {(λ e - x)}^{- 1} d λ

, where Γ is a positively oriented rectifiable simple closed contour in

U

that surrounds

σ (x)

, the spectrum of x. In this paper Schwarz's lemma, Harnack's inequalities and results related to subordination are obtained for

f (x)

引用次数: 0

Multi-dimensional fractional Brownian motion in the G-setting

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications

Pub Date : 2025-02-12 DOI: 10.1016/j.jmaa.2025.129364

Francesca Biagini , Andrea Mazzon , Katharina Oberpriller

In this paper we introduce a definition of a multi-dimensional fractional Brownian motion of Hurst index

H \in (0, 1)

under volatility uncertainty (in short G-fBm). We study the properties of such a process and provide first results about stochastic calculus with respect to a multi-dimensional G-fBm for a Hurst index

H \in (\frac{1}{2}, 1)

引用次数: 0

首页上一页

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Journal of Mathematical Analysis and Applications

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀