On functional-differential equations with discontinuous right-hand side We consider unique determination and right uniqueness issues for solutions, satisfying the one-sided Lipschitz condition, of functional-differential equati... AV Surkov - 《Differential Equations》 被引量: 116发表: 2008年 On the qu...
Review Concept of Application of Differential EquationsThis article attempts the basic concepts of Differential equations and studies one of the application of Differential equations which is Newtons law of cooling. It gives the derivation of this and explains its role in Engineering connection. It ...
report that the solving of differentialdifference equations of specific class can be presented in form of a sum of two components, the first one of which is solution of a certain difference equation, and the second one sum of solutions of a certain recurrent system of differential equations. Su...
However, still doubts exist concerning the type of attractors or the trajectories followed by particles in the nervous phase space. Starting from an unusual system governed by differential equations in which a dissipative strange attractor coexists with an invariant conservative torus, we developed a ...
This paper introduces a new type of continuous-depth neural network, called the Neural Piecewise-Constant Delay Differential Equations (NPCDDEs). With this, unlike with the recently proposed framework for the NDDEs, researchers transform the sing...
Recommended Lessons and Courses for You Related Lessons Related Courses Torque & Angular Momentum | Definition, Equation & Relationship Torque in Physics | Symbol, Equation & Examples Principle of Moments in Physics | Definition, Formula & Examples Differential Notation in Physics ...
We introduce the notions of Dupin indicatrices for 'non-smooth' convex surfaces in Rn+l which are graphs of convex functions defined on Rn. We study them in connection with the concept of second-order subdifferentials of convex functions... Hiriart-Urruty J.-B,A Seeger - 《Proceedings of ...
integro-differential equationsThe classical Darcy law is generalised by regarding the water flow as a function of a non-integer order derivative of the piezometric head. This generalised law and the law of conservation of mass are then used to derive a new equation for groundwater flow. ...
The result of combining the equations above is [Math Processing Error]TrCIκN(G\unicodex0327)=∑pi=2κt12tpi+∑pi=3κt22tpi+∑pi=4κt32tpi+⋯+∑pi=κκtκ−12tpi (8) [Math Processing Error]=∑pi=1κ−1tpi2∑pj=pi+1κtpj. (9) Suppose [Math Processing Error]vp1 is th...
In this interesting paper the authors state a definition of the average concept for nonautonomous differential equations. Different averaging concepts used in the literature are compared and shown to be equal. The definition of upper and lower averaging is used to generalize some results related with...