Uniqueness theorems for meromorphic mappings sharing hyperplanes in general position

The purpose of this article is to study the uniqueness problem for meromorphic mappings from $\mathbb{C}^{n}$ into the complex projective space $\mathbb{P}^{N}(\mathbb{C}).$ By making using of the method of dealing with multiple values due to L. Yang and the technique of Dethloff-Quang-Tan respectively, we obtain two general uniqueness theorems which improve and extend some known results of meromorphic mappings sharing hyperplanes in general position.Comment: 10 page

Oscillation of solutions of some higher order linear differential equations

In this paper, we deal with the order of growth and the hyper order of solutions of higher order linear differential equations $$f^{(k)}+B_{k-1}f^{(k-1)}+\cdots+B_1f'+B_0f=F$$ where $B_j(z) (j=0,1,\ldots,k-1)$ and $F$ are entire functions or polynomials. Some results are obtained which improve and extend previous results given by Z.-X. Chen, J. Wang, T.-B. Cao and C.-H. Li

Oscillation results on meromorphic solutions of second order differential equations in the complex plane

The main purpose of this paper is to consider the oscillation theory on meromorphic solutions of second order linear differential equations of the form $f^{''}+A(z)f=0$ where $A$ is meromorphic in the complex plane. We improve and extend some oscillation results due to Bank and Laine, Kinnunen, Liang and Liu, and others

Bounds for the sums of zeros of solutions of u(m)=P(z)uu^{(m)}=P(z)u where PP is a polynomial

The main purpose of this paper is to consider the differential equation $u^{(m)}=P(z)u$ $(m\geq 2)$ where $P$ is a polynomial with in general complex coefficients. Let $z_{k}(u),$ $k=1,2,\ldots$ be the zeros of a nonzero solution $u$ to that equation. We obtain bounds for the sums $$\sum_{k=1}^{j}\frac{1}{|z_{k}(u)|}\quad (j\in\mathbb{N})$$ which extend some recent results proved by Gil'

Uniqueness and value distribution for q-shifts of meromorphic functions

In this paper, we deal with value distribution for q-shift polynomials of transcendental meromorphic functions with zero order and obtain some results which improve the previous theorems given by Liu and Qi [18]. In addition, we investigate value sharing for q-shift polynomials of transcendental entire functions with zero order and obtain some results which extend the recent theorem given by Liu, Liu and Cao [17]

Orthokeratology lens and conventional frame glasses for ocular parameters of myopia adolescent

AIM: To explore the effects of overnight orthokeratology lens and conventional frame glasses on the myopic diopter, uncorrected visual acuity and ocular parameters of myopia adolescent. METHODS: Totally 102 cases of(204 eyes)of adolescent myopia patients were randomly divided into observation group and control group with 51 cases(102 eyes)in each group during April 2014 to April 2017. Control group was only given conventional frame glasses, and observation group was given overnight orthokeratology lens. The myopic diopter and uncorrected visual acuity(UCVA)before wearing glasses and at 1wk, 1, 3, 6mo and 1a of wearing glasses, and the ocular parameters before wearing glasses and at 1a after wearing glasses were observed in the two groups, and the occurrence of complications was compared between the two groups. RESULTS: After 1wk to 1a of wearing glasses, the myopic diopter in observation group was gradually decreased(PP>0.05), but there was statistically significant difference between-groups at different time points(PPPP>0.05), and the axial length in control group was significantly longer than that before wearing glasses and that in observation group(PP>0.05).CONCLUSION: Overnight orthokeratology lens for adolescent myopia can effectively correct the myopic diopter, and improve the uncorrected visual acuity. It is less harmful to the eyes and less complications, and it is safe and reliable in clinical application

ODDFUZZ: Discovering Java Deserialization Vulnerabilities via Structure-Aware Directed Greybox Fuzzing

Java deserialization vulnerability is a severe threat in practice. Researchers have proposed static analysis solutions to locate candidate vulnerabilities and fuzzing solutions to generate proof-of-concept (PoC) serialized objects to trigger them. However, existing solutions have limited effectiveness and efficiency. In this paper, we propose a novel hybrid solution ODDFUZZ to efficiently discover Java deserialization vulnerabilities. First, ODDFUZZ performs lightweight static taint analysis to identify candidate gadget chains that may cause deserialization vulner-abilities. In this step, ODDFUZZ tries to locate all candidates and avoid false negatives. Then, ODDFUZZ performs directed greybox fuzzing (DGF) to explore those candidates and generate PoC testcases to mitigate false positives. Specifically, ODDFUZZ applies a structure-aware seed generation method to guarantee the validity of the testcases, and adopts a novel hybrid feedback and a step-forward strategy to guide the directed fuzzing. We implemented a prototype of ODDFUZZ and evaluated it on the popular Java deserialization repository ysoserial. Results show that, ODDFUZZ could discover 16 out of 34 known gadget chains, while two state-of-the-art baselines only identify three of them. In addition, we evaluated ODDFUZZ on real-world applications including Oracle WebLogic Server, Apache Dubbo, Sonatype Nexus, and protostuff, and found six previously unreported exploitable gadget chains with five CVEs assigned.Comment: To appear in the Main Track of IEEE S&P 202