Results 11 to 20 of about 63,506 (264)
Stability of Complex Functional Equations in 2-Banach Spaces [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2021 Summary: In the paper, we obtain some results for the Hyers-Ulam stability of the following functional equations: \[ \mathsf{q}(x+iy)+\mathsf{q}(x-iy)+\mathsf{q}(y+ix)+\mathsf{q}(y-ix)=2\mathsf{q}(x)+2\mathsf{q}(y) \] and \[ \mathsf{q}(x+iy)+\mathsf{q}(x-iy)+\mathsf{q}(y+ix)+\mathsf{q}(y-ix)=0 \] in the setting of 2-Banach spaces.
Rana, Anshul +2 more
openaire +2 more sources
The Cauchy-Riemann Differential Equations of Complex Functions [PDF]
Formalized Mathematics, 2009 Summary. In this article we prove Cauchy-Riemann dierential equations of complex functions. These theorems give necessary and sucient condition for dierentiable function.
Hiroshi Yamazaki +3 more
openaire +2 more sources
Хімія, фізика та технологія поверхні, 2020 Highly disperse or porous complex and hybrid materials and nanocomposites characterized by the presence of several phases, nonuniform particulate morphology, and complicated porosity with contributions of pores of various shapes are widely used in ...
V. M. Gun'ko
doaj +1 more source
East European Journal of Physics, 2021 The paper presents an algorithm for constructing the family of the atomic radial basis functions of three independent variables generated by Helmholtz-type operator, which may be used as basis functions for the implementation of meshless methods for ...
Denys Protektor
doaj +1 more source
Some Properties on Complex Functional Difference Equations [PDF]
Abstract and Applied Analysis, 2014 We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form∑λ∈Iαλ(z)(∏j=0nf(z+cj)λj)=R(z,f∘p)=((a0(z)+a1(z)(f∘p)+ ⋯ +as(z) (f∘p)s)/(b0(z)+b1(z)(f∘p)+ ⋯ +bt(z)(f∘p)t)), whereIis a finite set of multi-indexesλ=(λ0,λ1,…,λn),c0=0,cj∈ℂ∖{0} (j=1,2,…,n)are distinct complex constants,p(z)is a ...
Huang, Zhi-Bo, Zhang, Ran-Ran
openaire +3 more sources
Applied Sciences, 2022 The trajectory planning method with dynamics is the key to improving the motion performance of manipulators. The optimal control method (OCM) is a key technology to solve optimal problems with dynamics.
Ziyao Xiong, Jianwan Ding, Liping Chen
doaj +1 more source
On the Calculation of Functional Safety Parameters of Technical Systems [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 Now the scientific methodology is created, the theory and practice of the analysis and synthesis of functional safety of responsible electronic programmable devices and systems at all stages of their life cycle are developed.
Igor B. Shubinskiy +2 more
doaj +1 more source
On a functional equation for the exponential function of a complex variable [PDF]
Glasgow Mathematical Journal, 1971 The following result is well known in the theory of analytic functions; see [1].Theorem A. Suppose that f(z) is an entire function of a complex variable z. Then f(z) satisfies the functional equationwhere z = x + iy (x, y real), if and only if f(z) = aexp(sz), where a is an arbitrary complex constant and s is an arbitrary real constant.
openaire +1 more source
Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
Mathematics, 2021 We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the free ...
Andrei D. Polyanin, Vsevolod G. Sorokin
doaj +1 more source
On q-double modified Laplace transform [PDF]
Mathematics and Computational SciencesThe Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda +2 more
doaj +1 more source