Search Results - "Li, Pingrun"

Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann–Hilbert method by Li, Pingrun

“…In this article, we investigate a class of linear complete singular integro-differential equations of convolution type with Fredholm integral operator in the…”
Get full text

The solvability of a kind of generalized Riemann–Hilbert problems on function spaces H by Li, Pingrun

“…In this paper, we study a kind of generalized Riemann–Hilbert problems (R-HPs) with several unknown functions in strip domains. We mainly discuss methods of…”
Get full text

Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem by Li, Pingrun

“…One class of singular integral equations of convolution type with Hilbert kernel is studied in the space L 2 [ − π , π ] in the article. Such equations can be…”
Get full text

Solvability of some classes of singular integral equations of convolution type via Riemann–Hilbert problem by Li, Pingrun

“…In this paper, we study methods of solution for some kinds of convolution type singular integral equations with Cauchy kernel. By means of the classical…”
Get full text

Some classes of singular integral equations of convolution type in the class of exponentially increasing functions by Li, Pingrun

“…In this article, we study some classes of singular integral equations of convolution type with Cauchy kernels in the class of exponentially increasing…”
Get full text

Linear BVPs and SIEs for Generalized Regular Functions in Clifford Analysis by Li, Pingrun, Cao, Lixia

“…We study some properties of a regular function in Clifford analysis and generalize Liouville theorem and Plemelj formula with values in Clifford algebra An(R)…”
Get full text

Generalized convolution-type singular integral equations by Li, Pingrun

“…In this paper, we study one class of generalized convolution-type singular integral equations in class {0}. Such equations are turned into complete singular…”
Get full text

Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions by Li, Pingrun

“…In this paper we study some classes of generalized singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing…”
Get full text

Existence of Analytic Solutions for Some Classes of Singular Integral Equations of Non-normal Type with Convolution Kernel by Li, Pingrun

“…In this work, we deal with the existence and uniqueness of solutions for some classes of singular convolution equations. Firstly, we establish Noethericity…”
Get full text

Generalized boundary value problems for analytic functions with convolutions and its applications by Li, Pingrun

“…In this paper, we first establish a locality theory for the Noethericity of generalized boundary value problems on the spaces Lp(R)(1≤p<∞). By means of this…”
Get full text

Singular Integral Equations of Convolution Type with Reflection and Translation Shifts by Li, Pingrun

“…This article deals with some kinds of singular integral equations of convolution type with reflection in class {0}. Such equations are transformed into the…”
Get full text

Two classes of linear equations of discrete convolution type with harmonic singular operators by Li, Pingrun

“…In this paper, we investigate two classes of linear equations of discrete convolution type with harmonic singular operator. Using the Laurent transform theory,…”
Get full text

Some classes of equations of discrete type with harmonic singular operator and convolution by Li, Pingrun, Ren, Guangbin

“…In this paper, we study four classes of discrete type equations with harmonic singular operator and convolution. Such equations are turned into boundary value…”
Get full text

The solvability of a kind of generalized Riemann–Hilbert problems on function spaces H ∗ $H_{\ast } by Pingrun Li

“…Abstract In this paper, we study a kind of generalized Riemann–Hilbert problems (R-HPs) with several unknown functions in strip domains. We mainly discuss…”
Get full text

One class of generalized boundary value problem for analytic functions by Li, Pingrun

“…In this paper, a boundary value problem for analytic functions with two unknown functions on two parallel straight lines is studied, the general solutions in…”
Get full text

Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator by Bai, Songwei, Li, Pingrun, Sun, Meng

“…The main goal of this paper is to study the existence of solutions for several new classes of singular convolution integral equations containing the Cauchy…”
Get full text

Uniqueness and Existence of Solutions to Some Kinds of Singular Convolution Integral Equations with Cauchy Kernel via R-H Problems by Li, Pingrun, Xia, Yang, Zhang, Wenwen, Lei, Yanxin, Bai, Songwei

“…In this article, we study the existence and uniqueness of solutions to some kinds of singular integral equations with Cauchy kernel and convolution kernel. In…”
Get full text

An efficient method for singular integral equations of non-normal type with two convolution kernels by Li, Pingrun, Zhang, Na, Wang, Mincheng, Zhou, Yajie

“…This article deals with the solvability and explicit solutions of one class of singular integral equations with two convolution kernels in the non-normal type…”
Get full text