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Nonlinear Boundary Value Problems [PDF]
Proceedings Mathematical Sciences, 1974 The differential equations investigated in earlier chapters have all been linear differential equations. The finite element discretisation of these equations yielded systems of linear algebraic equations that may be solved using established, robust and reliable linear algebra techniques.
Papageorgiou, Nikolaos S. +1 more
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On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper proposes a constructive method to solve a nonlinear boundary value problem for a Fredholm integro-differential equation. Using D.S. Dzhumabaev parametrization method, the problem under consideration is transformed into an equivalent ...
A.T. Assanova +3 more
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An Elliptic Boundary Value Problem with Fractional Nonlinearity [PDF]
SIAM Journal on Mathematical Analysis, 2021 We investigate existence and uniqueness of solutions to second-order elliptic boundary value problems containing a power nonlinearity applied to a fractional Laplacian. We detect the critical power separating the existence from the non-existence regimes.
Nicola Abatangelo, Matteo Cozzi
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Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated.
Tursun K. Yuldashev
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A singular nonlinear boundary value problem [PDF]
Pacific Journal of Mathematics, 1978 We show that the following nonlinear boundary-value problem has a positive solution: \[ \ddot{y}-y+yF(y^2,t)=0,y(0)=0=\lim_{t\to \infty}\,y(t),\dot{y}(0) \mathrm{ finite.} \] We assume that \(F\) is continuous for \(t>0\), \(y^2 \geq 0\); \(F>0\) for \(y^2 >0\); and \(\eta^{-\delta}F(\eta ,t)\) is strictly increasing in \(\eta\) for some \(\delta>0 ...
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On one nonlinear integral boundary value problem
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017 We give a new approach for the investigation of existence and construction of an approximate solutions of nonlinear non-autonomous systems of ordinary differential equations under nonlinear integral boundary conditions.
Я. В. Варга
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Al-Mustansiriyah Journal of Science, 2023 In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear triple parabolic boundary value problem.
Yasameen H. Rashid +2 more
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Monte Carlo solution of heat conductivity problems with quadratic nonlinearity on the boundary of domain [PDF]
E3S Web of Conferences, 2023 In this work, we study the approach connected with branching Markov processes. Branching Markov random processes are created to solve boundary-value problems (BVR) with polynomial nonlinearities.
Rasulov Abdujabar +2 more
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A Counterexample in Nonlinear Boundary Value Problems [PDF]
Proceedings of the American Mathematical Society, 1972 For the boundary value problem (1.1), (1.2) below where initial value problems of (1.1) are unique and exist on (a, b) it is known that global uniqueness on (a, b) implies global existence on (a, b) if fl6 =0. It is also known that this is false if 54 0 and a6-fy=0. It is shown here by example that this is also false if /3640 and a6-fy$O.
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Solution of a nonlinear heat transfer problem based on experimental data
Вестник КазНУ. Серия математика, механика, информатика, 2022 The paper develops a method for solving nonlinear equations of heat conduction. Two-layer container complexes have been created, the side faces of which are thermally insulated so that the 1D heat equation can be used.
B. Rysbaiuly, S. D. Alpar
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