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Existence and Nonexistence of the Solutions to the Cauchy Problem of Quasilinear Parabolic Equation with a Gradient Term

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2021; 61 (1)

This paper deals with the existence and non-xistence of the solutions to the Cauchy problem of a class of quasilinear parabolic equations with a gradi......

Estimates of the argument function of automorphic L-functions for GL(2)*

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2021; 61 (1)

We study the argument of L(s, f) associated with holomorphic cusp form in both weight aspect and t-aspect. We prove that for -1 <= sigma <= 2 an......

Wavelet estimation in heteroscedastic regression models with alpha-mixing random errors

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2021; 61 (1)

We investigate the heteroscedastic regression model Y-ni = g(x(ni)) + sigma(ni)epsilon(ni), i = 1, . . . , n, where sigma(2)(ni) = f(u(ni)), (x(ni), u......

On the long tail property of product convolution

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2020; 60 (3)

Let X and Y be two independent random variables with corresponding distributions F and G on [0,infinity). The distribution of the product XY , which i......

Anticipated mean-field backward stochastic differential equations with jumps(*)

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2020; 60 (3)

In this paper, we prove an existence and uniqueness theorem and a comparison theorem for a class of anticipated mean-field backward stochastic differe......

Existence and Uniqueness of Martingale Solutions to Option Pricing Equations with Noise

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2020; 60 (4)

We introduce a new option pricing equation with noise in a frictional financial market, which is fully different from the classical option pricing equ......

Notes on large deviations for branching processes indexed by a Poisson process

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2020; 60 (1)

Consider a continuous-time process {ZN(t)}, where {Z(n)} is a Galton-Watson process with offspring mean m, and {N-t} is a Poisson process independent ......

A note on the uniform asymptotic behavior of the finite-time ruin probability in a nonstandard renewal risk model

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2020; 60 (2)

Consider a nonstandard renewal risk model in which claims and interarrival times form a sequence of independent and identically distributed random pai......

Multiple positive solutions for nonhomogeneous Schrodinger-Poisson system in Double-struck capital R-3*

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2020; 60 (2)

In this paper, we study the multiplicity of solutions for a class of nonhomogeneous Schrodinger-Poisson systems under general superlinear conditions a......

Zeros, poles, and fixed points of solution and its difference for some types of difference equations

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2020; 60 (4)

The main purpose of this paper is studying some properties on the growth and value distribution of solutions of some difference equations. We obtain s......

Wavelet estimation in time-varying coefficient models

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2019; 59 (2)

The paper is concerned with the estimation of a time-varying coefficient time series model, which is used to characterize the nonlinearity and trendin......

JIF:0.57

On some explicit evaluations of nonlinear Euler sums

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2019; 59 (2)

In this paper, we extend tools developed in [26] to study harmonic numbers sums. We use these objects to compute Euler-related sums and to explore the......

JIF:0.57

Sumsets with restricted number of prime factors

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2019; 59 (2)

In 1934, Erds and Turan proved that if a(1), a(2), . . . , a(n) are distinct positive integers such that the product (1i)<(jn)(a(i)+a(j)) has at mo......

JIF:0.57

A Divisor Problem Attached to Regular Quadratic Forms

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 2019; 59 (2)

Let f(x(1), . . . , x(s)) (s 3) be a regular quadratic form with integral variables. We study the number of divisors of f(x(1), . . . , x(s)) on avera......

JIF:0.57

Shifted convolution sums of Fourier coefficients with squarefull kernel functions

期刊: LITHUANIAN MATHEMATICAL JOURNAL, 0; ()

Let f(z) be a primitive holomorphic cusp form of even integral weight k for the full modular group. Denote its nth normalized Fourier coefficient (Hec......

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