Nonlocal final value problem governed by semilinear anomalous diffusion equations
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Tran Dinh Ke, Tran-Phuong-Thuy Lam
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Discrete Boundary Value Problems with Initial and Final Conditions [PDF]
The author studies the nonhomogeneous linear difference equation with constant coefficients of order \(k\geq 2\): \[ \sum^k_{j=0}a_jy(t+j)= g(t),\quad t\in \{0\}\cup \mathbb N\tag{1} \] such that \(a_0 a_1\neq 0\), subject to initial conditions \[ y(i)-y_i,\quad N\leq i\leq k_1-1\tag{2} \] and to final conditions \[ y(i)=y_i, \quad N\leq i\leq N+k_2-1 ...
Raghib Abu-Saris
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A uniqueness result for final boundary value problem of microstretch bodies
Summary: Main subject of this study is the final boundary value problem of a microstretch thermoelastic body. In fact, using an elementary transformation, this problem is reformulated as a known mixed problem with initial and boundary conditions. We prove some results of uniqueness of solutions avoiding any conservation law of energy.
Marín Marín +3 more
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On a final value problem for a biparabolic equation with statistical discrete data
This article is devoted to the study of final value problems for biparabolic equation with discrete data in two cases as the linear source and the nonlinear source, respectively. In each of the cases, we show the instability of the solutions and then establish approximate solutions by applying some regularization methods.
Nguyen Huy Tuan +3 more
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Well-posed final value problems and Duhamel's formula for coercive Lax–Milgram operators
<abstract><p>This paper treats parabolic final value problems generated by coercive Lax–Milgram operators, and well-posedness is proved for this large class. The result is obtained by means of an isomorphism between Hilbert spaces containing the data and solutions.
Jon Johnsen
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On a final value problem for a nonlinear fractional pseudo-parabolic equation
<p style='text-indent:20px;'>In this paper, we investigate a final boundary value problem for a class of fractional with parameter <inline-formula><tex-math id="M1">$ \beta $</tex-math></inline-formula> pseudo-parabolic partial differential equations with nonlinear reaction term.
Vo Van Au +3 more
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Final value problem for fractional reaction-subdiffusion equations
We investigate the existence of a mild solution to the final value problem for a class of fractional reaction-subdiffusion nonlinear equations, where the nonlinearity may take weak values. We want to demonstrate the unique existence of a mild solution by using the Banach fixed-point theorem.
Thanh Tuan Pham, Thi-Ngan Nguyen
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Going forth and back in time: a fast and parsimonious algorithm for mixed initial/final-value problems [PDF]
We present an efficient and parsimonious algorithm to solve mixed initial/final-value problems. The algorithm optimally limits the memory storage and the computational time requirements: with respect to a simple forward integration, the cost factor is ...
Antonio Celani +2 more
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Multipoint Initial-Final Value Problem for Hoff Equation in Quasi-Sobolev Spaces
Summary: We consider an analog of the linear Hoff equation in quasi-Sobolev spaces with multipoint initial-final value condition. The research is based on the abstract results obtained for the Sobolev type equation with multipoint initial-final value condition in the quasi-Banach spaces of sequences.
N.N. Solovyova +1 more
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Final-Boundary Value Problem in the Non-Classical Treatment for a Sixth Order Pseudoparabolic Equation [PDF]
6 pages, 2 ...
Ilgar G. Mamedov
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