Results 31 to 40 of about 5,578 (289)
Nonlocal evolution inclusions under weak conditions [PDF]
The authors investigate evolution inclusions given by multivalued perturbations of \(m\)-dissipative operators with nonlocal initial conditions. The system has the form \[ \dot{y}(s)\in Ay(s)+F(s,y(s)),\, s\in I=[t_0,T],\, y_0(t_0)=g(y(\cdot)), \] where \(A:D(A)\subset X\rightrightarrows X\) is a \(m\)-dissipative operator, \(F:I\times X ...
Shamas Bilal +4 more
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In this paper, we consider a problem for a one-dimensional hyperbolic equation with nonlocal integral condition of the second kind. Uniqueness and existence of a generalized solution are proved. In order to prove this statement we suggest a new approach.
Ludmila S Pulkina, Alesya E Savenkova
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The article investigates the Sturm–Liouville problem with one classical and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on ...
Kristina Bingelė +2 more
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Diffusion with nonlocal Robin boundary conditions [PDF]
Revision based on the comments of the referee; final ...
ARENDT, Wolfgang +2 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
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Nondensely defined evolution equations with nonlocal conditions
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Ezzinbi, K., Liu, James H.
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Nonlocal problems with Neumann boundary conditions [PDF]
We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
Serena Dipierro +2 more
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