NONLINEAR NOETHERIAN SECOND-ORDER BOUNDARY-VALUE PROBLEMS IN THE CRITICAL CASE

S.M. Chuiko; An.A. Boichuk; L.A. Boichuk

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NONLINEAR NOETHERIAN SECOND-ORDER BOUNDARY-VALUE PROBLEMS IN THE CRITICAL CASE

机译：临界情况下的非线性二阶非线性边值问题

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摘要

We establish necessary and sufficient conditions for the existence of solutions of a weakly nonlinear Noetherian boundary-value problem for a system of second-order ordinary differential equations in the critical case.

机译：我们为临界情况下的二阶常微分方程组的弱非线性Noetherian边值问题的解的存在建立了充要条件。

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《Journal of Mathematical Sciences》 |2014年第3期|351-360|共10页
作者
S.M. Chuiko; An.A. Boichuk; L.A. Boichuk;
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Donbass State Pedagogic University, Ukraine, 84116, Slavyansk, Donetsk region, 19 General Batyuk Str.;

Institute of Mathematics, Ukrainian National Academy of Sciences, Ukraine, 01601, Kiev, 3 Tereshchenkovskaya Str.;

Paton Institute of Electric Welding , Ukrainian National Academy of Sciences, Ukraine, 03680, Kiev, 3 Bozhenko Str.;

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2. EXISTENCE RESULTS FOR SECOND-ORDER BOUNDARY-VALUE PROBLEMS INVOLVING LIPSCHITZ NONLINEARITY WITH SMALL PERTURBATIONS OF IMPULSES [J] . M. Khaleghi Moghadam, H. Kazemi, J. Henderson Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2017,第1a2期

机译：涉及Lipschitz非线性的二阶边值问题的存在结果，其脉冲小扰动
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4. Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials [C] . Alexander A. Gusev, Ochbadrakh Chuluunbaatar, Sergue I. Vinitsky, International workshop on computer algebra in scientific computing . 2014

机译：具有内插Hermite多项式的有限元方法与自伴二阶微分方程边值问题的符号-数值解
5. ON THE SECOND-ORDER PROPERTIES OF THE OUTPUT OF CERTAIN FIRST-ORDER AND SECOND-ORDER NONLINEAR SYSTEMS WITH RANDOM INPUTS. [D] . ROBINSON, ALFRED CHRISTIAN. 1963

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6. Structural Origins of Chiral Second-Order Optical Nonlinearity in Collagen: Amide I Band [O] . Karen M. Reiser, Alexander B. McCourt, Diego R. Yankelevich, 2012

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7. On the reduction of a nonlinear Noetherian differential-algebraic boundary-value problem to a noncritical case [O] . 2019

机译：在非临界案例中的非线性Neetherian差分代数边值问题的减少
8. Boundary-Value Problems in Stratified Shear Flows with a Nonlinear Critical Layer. [R] . Margolis, S. B., Su, C. H. 1977

机译：具有非线性临界层的分层剪切流中的边值问题。

NONLINEAR NOETHERIAN SECOND-ORDER BOUNDARY-VALUE PROBLEMS IN THE CRITICAL CASE

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