IMPLICIT LINEAR q-DIFFERENCE EQUATIONS IN BANACH SPACES

S. L. Gefter; A. L. Piven

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IMPLICIT LINEAR q-DIFFERENCE EQUATIONS IN BANACH SPACES

机译：Banach空间中的隐含线性Q差分方程

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摘要

We establish the existence and uniqueness of a holomorphic solution to an implicit linear q-difference equation in a Banach space. We consider holomorphic solutions in a neighborhood of zero if |q| < 1 and entire solutions if |q| > 1. The solutions are expressed an an explicit form. The case q = 0 is separately considered.

机译：我们在Banach空间中的隐式线性Q差分方程建立了储象溶液的存在性和唯一性。我们考虑在零附近的核心溶液if | q | q | <1和整个解决方案IF | Q | > 1.解决方案表示明确的形式。 Q = 0是单独考虑的。

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《Journal of Mathematical Sciences》 |2020年第6期|787-796|共10页
作者
S. L. Gefter; A. L. Piven;
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Karazin Kharkiv National University 4 pl. Svobody Kharkiv 61000 Ukraine;

Karazin Kharkiv National University 4 pl. Svobody Kharkiv 61000 Ukraine;

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1. HOLOMORPHIC SOLUTIONS TO LINEAR q-DIFFERENCE EQUATIONS IN A BANACH SPACE [J] . S. L. Gefter, A. L. Piven Journal of Mathematical Sciences . 2020,第5期

机译：Banach空间中线性Q差分方程的全象解
2. Nonlinear boundary value problem for implicit differential equations of fractional order in Banach spaces [J] . M. Benchohra, S. Bouriah, M.A. Darwish Fixed point theory: An international journal o fixed point theory computation and applications . 2017,第2期

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3. NONLINEAR IMPLICIT IMPULSIVE VOLTERRATYPE RANDOM INTEGRAL EQUATIONSIN BANACH SPACES [J] . Heng-you Lan, Jong Kyu Kim, Yeol Je Cho Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2010,第3期

机译：Banach空间中的非线性隐式脉冲Volterra型随机积分方程
4. EXISTENCE OF SLIDING MOTIONS FOR NONLINEAR EVOLUTION EQUATIONS IN BANACH SPACES [C] . Laura Levaggi AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：Banach空间中非线性演化方程的滑动运动的存在性
5. Iteration methods for approximation of solutions of nonlinear equations in Banach spaces. [D] . Chidume, Chukwudi. 2008

机译：Banach空间中非线性方程解的逼近迭代方法。
6. ON A „MONOTONICITY METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [O] . George J. Minty 1963

机译：Banach空间中非线性方程解的单调性方法
7. Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces [O] . Lan Heng-you 2008

机译：Banach空间中非线性混合型隐式脉冲积分-微分方程组的单调方法
8. The Existence, Uniqueness, Differentiability, and Analyticity of the Solutions of Non-Linear Differential Equations in Banach Spaces with Applications to Navier Stokes Equations [R] . Khatchatooriantz, L. A. 1968

机译：Banach空间中非线性微分方程解的存在唯一性，可微性和解析性及其在Navier stokes方程中的应用

IMPLICIT LINEAR q-DIFFERENCE EQUATIONS IN BANACH SPACES

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