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Invasion dynamics of super invaders: elimination of Allee effects by a strategy at the range boundary. [PDF]
J Math BiolDu Y, Li L, Ni W, Shabgard N.
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Corner Boundary Value Problems
Complex Analysis and Operator Theory, 2014If the boundary of a manifold has singularities, e.g., conical points or edges, then when dealing with boundary value problems, one may be forced to work with pseudo-differential operators with corner degenerated symbols. In this paper, elements of the corresponding corner pseudo-differential calculus are studied.
Chang, Der-Chen +2 more
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Elementary Boundary Value Problems
American Journal of Physics, 1966The solution of a particular elementary boundary value problem is presented. A new set of orthogonal functions is needed. Their properties are discussed briefly. A comment is made about the number of independent solutions of a rth order equation in an n dimensional space. The number is rn and not r·n.
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1992
The simplest frictionless contact problem of the class defined by equations (29.3–29.6) is that in which the contact area A is the circle 0 < r < a and the indenter is axisymmetric, in which case we have to determine a harmonic function φ(r, z) to satisfy the mixed boundary conditions $$\frac{{\partial \varphi }}{{\partial z}} = - \frac{\mu }{{(1 -
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The simplest frictionless contact problem of the class defined by equations (29.3–29.6) is that in which the contact area A is the circle 0 < r < a and the indenter is axisymmetric, in which case we have to determine a harmonic function φ(r, z) to satisfy the mixed boundary conditions $$\frac{{\partial \varphi }}{{\partial z}} = - \frac{\mu }{{(1 -
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2011
This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly
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This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly
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General Boundary-Value Problems
1992Section 5.1 introduces the general elliptic linear differential equation of second order together with the Dirichlet boundary values. An important statement is the maximum-minimum principle in §5.1.2. In §5.1.3 sufficient conditions for the uniqueness of the solution and the continuous dependence on the data are proved.
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1988
When a person begins the study of ordinary differential equations, he is usually confronted first by initial value problems, i.e. a differential equation plus conditions which the solution must satisfy at a given point x = x0.
Mayer Humi, William Miller
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When a person begins the study of ordinary differential equations, he is usually confronted first by initial value problems, i.e. a differential equation plus conditions which the solution must satisfy at a given point x = x0.
Mayer Humi, William Miller
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1984
In the previous chapters, we studied various kinds of questions concerning the initial value problem. We now propose to investigate other types of problems, in which the desired solution depends either on the values that it assumes at various points in its domain or on geometrical conditions (e.g., intersecting two given curves or being tangent to two ...
L. C. Piccinini +2 more
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In the previous chapters, we studied various kinds of questions concerning the initial value problem. We now propose to investigate other types of problems, in which the desired solution depends either on the values that it assumes at various points in its domain or on geometrical conditions (e.g., intersecting two given curves or being tangent to two ...
L. C. Piccinini +2 more
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