Linear differential equations to solve nonlinear mechanical problems: A novel approach [PDF]
Often a non-linear mechanical problem is formulated as a non-linear differential equation. A new method is introduced to find out new solutions of non-linear differential equations if one of the solutions of a given non-linear differential equation is known. Using the known solution of the non-linear differential equation, linear differential equations
arxiv
Gravitating fluids with Lie symmetries
We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi+9 more
core +1 more source
Functional variation among LPMOs revealed by the inhibitory effects of cyanide and buffer ions
This study addresses the inhibition of lytic polysaccharide monooxygenases (LPMOs) by cyanide and explains how and why the magnitude of observed inhibitory effects depends on the way LPMO reactions are setup and on the type of LPMO. Enzymes known as lytic polysaccharide monooxygenases (LPMOs) are mono‐copper polysaccharide‐degrading peroxygenases that ...
Ole Golten+10 more
wiley +1 more source
Linear Differential Equations as a Data Structure [PDF]
A lot of information concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data-structure, from which mathematical properties can be computed. A variety of algorithms has thus been designed in recent years that do not aim at "solving", but at computing ...
openaire +5 more sources
H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations
This paper is concerned with H\"older regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the ...
Barles, Guy+2 more
core +3 more sources
We present the first solution structure of the Ca2+‐depleted LETM1 F‐EF‐hand through a D676A/N678A Ca2+ binding‐deficient mutant, revealing a closed hydrophobic cleft caused by a unique F1‐helix pivot. The apo LETM1 F‐EF‐hand exhibits regiospecific hot and cold unfolding, sensitivity to physiological pH changes and potential for promiscuous heterotypic
Qi‐Tong Lin+2 more
wiley +1 more source
An integral equation associated with linear homogeneous differential equations
Associated with each linear homogeneous differential equation y(n)=∑i=0n−1ai(x)y(i) of order n on the real line, there is an equivalent integral equation f(x)=f(x0)+∫x0xh(u)du+∫x0x[∫x0uGn−1(u,v)a0(v)f(v)dv]du which is satisfied by each solution f(x) of ...
A. K. Bose
doaj +1 more source
Nonlinear differential equation with first order partial derivatives
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj +1 more source
Analytical solution with tanh-method and fractional sub-equation method for non-linear partial differential equations and corresponding fractional differential equation composed with Jumarie fractional derivative [PDF]
The solution of non-linear differential equation, non-linear partial differential equation and non-linear fractional differential equation is current research in Applied Science. Here tanh-method and Fractional Sub-Equation methods are used to solve three non-linear differential equations and the corresponding fractional differential equation.
arxiv
Pontryagin principle for a Mayer problem governed by a delay functional differential equation
We establish Pontryagin principles for a Mayer's optimal control problem governed by a functional differential equation. The control functions are piecewise continuous and the state functions are piecewise continuously differentiable.
Blot, Joël, Kon\', Mamadou Ibrahima
core +3 more sources