L2-convergence of Yosida approximation for semi-linear backward stochastic differential equation with jumps in infinite dimension [PDF]
Purpose – The main motivation of this paper is to present the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L2-convergence rate is established.
Hani Abidi+3 more
doaj +1 more source
On a differential equation with Caputo-Fabrizio fractional derivative of order $1<\beta\leq 2$ and application to mass-spring-damper system [PDF]
In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order ...
N. Al-Salti, E. Karimov, K. Sadarangani
semanticscholar +1 more source
An asymptotic result for linear nonhomogeneous mixed type differential equation [PDF]
We consider a nonhomogeneous linear mixed type differential equation with variable coefficients and establish an asymptotic result for its solutions. Our result is obtained by the use of a solution of the so-called generalized characteristic equation of ...
Ali Fuat Yeniçerioğlu
doaj +1 more source
Wave solutions of the DMBBM equation and the cKG equation using the simple equation method
In this article, we transform the (1 + 1)-dimensional non-linear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and the (2 + 1)-dimensional cubic Klein Gordon (cKG) equation, which are the non-linear partial differential equations, into the ...
Jiraporn Sanjun, Aungkanaporn Chankaew
doaj +1 more source
Modified Riccati technique for half-linear differential equations with delay
We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
doaj +1 more source
A Semi-Linear Backward Parabolic cauchy Problem with Unbounded Coefficients of Hamilton-Jacobi-Bellman Type and Applications to optimal control [PDF]
We obtain weighted uniform estimates for the gradient of the solutions to a class of linear parabolic Cauchy problems with unbounded coefficients. Such estimates are then used to prove existence and uniqueness of the mild solution to a semi-linear ...
Addona, Davide
core +2 more sources
New Approach on the General Shape Equation of Axisymmetric Vesicles
The general Helfrich shape equation determined by minimizing the curvature free energy describes the equilibrium shapes of the axisymmetric lipid bilayer vesicles in different conditions.
Helfrich W.+4 more
core +1 more source
Oscillation criteria for perturbed half-linear differential equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj +1 more source
In the present paper the initial value problem for the second order ordinary differential equation with damping term and involution is investigated. We obtain equivalent initial value problem for the fourth order ordinary differential equations to the ...
A. Ashyralyev+2 more
doaj +1 more source
Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov+6 more
core +1 more source