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Mathematical analysis of the optimizing acquisition and retention over time problem

Adi Ditkowski (2009)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

While making informed decisions regarding investments in customer retention and acquisition becomes a pressing managerial issue, formal models and analysis, which may provide insight into this topic, are still scarce. In this study we examine two dynamic models for optimal acquisition and retention models of a monopoly, the total cost and the cost per customer models. These models are analytically analyzed using classical, direct, methods and asymptotic expansions (for the total cost model). In...

Mathematical analysis of the optimizing acquisition and retention over time problem

Adi Ditkowski (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

Mathematical model for the basilar membrane as a two dimensional plate.

Alkahby, H.Y., Mahrous, M.A., Mamo, B. (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Maximum principle and its extension for bounded control problems with boundary conditions.

Vasilieva, Olga (2004)

International Journal of Mathematics and Mathematical Sciences

Maximum principles and uniqueness results of phi-Laplacian boundary value problems.

Heikkilä, S., Seikkala, S. (2001)

Journal of Inequalities and Applications [electronic only]

Maximum principles for a family of nonlocal boundary value problems.

Eloe, Paul W. (2004)

Advances in Difference Equations [electronic only]

Mesh Selection for Discrete Solution of Boundary Problems in Ordinary Differential Equations.

V. Pereyra, E.G. Sewell (1974/1975)

Numerische Mathematik

Method of lower and upper solutions for a generalized boundary value problem

Boris Rudolf (2000)

Archivum Mathematicum

Method of lower and upper solutions for a third-order three-point regular boundary value problem

Martin Šenkyřík (1992)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Method of successive approximations for a certain nonlinear third order boundary value problem

Ján Rusnák (1987)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions.

Eloe, P., Hristova, S.G. (2002)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Methods of analysis of the condition for correct solvability in $L_{p} (ℝ)$ of general Sturm-Liouville equations

Nina A. Chernyavskaya, Leonid A. Shuster (2014)

Czechoslovak Mathematical Journal

We consider the equation $- {(r (x) y^{'} (x))}^{'} + q (x) y (x) = f (x), x \in ℝ (*)$ where $f \in L_{p} (ℝ)$ , $p \in (1, \infty)$ and $\begin{matrix} r > 0, q \geq 0, \frac{1}{r} \in L_{1}^{loc} (ℝ), q \in L_{1}^{loc} (ℝ), \\ lim_{| d | \to \infty} \int_{x - d}^{x} \frac{d t}{r (t)} \cdot \int_{x - d}^{x} q (t) d t = \infty . \end{matrix}$ In an earlier paper, we obtained a criterion for correct solvability of ( $*$ ) in $L_{p} (ℝ),$ $p \in (1, \infty) ...$

Metoda přesunu okrajových podmínek

Emil Vitásek (2007)

Pokroky matematiky, fyziky a astronomie

Minimal and maximal solutions for two-point boundary-value problems.

Grammatikopoulos, Myron K., Kelevedjiev, Petio S. (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval.

Zhang, Xuemei, Yang, Xiaozhong, Feng, Meiqiang (2011)

Boundary Value Problems [electronic only]

Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions

Y. N. Aliyev (2007)

Colloquium Mathematicae

We consider Sturm-Liouville problems with a boundary condition linearly dependent on the eigenparameter. We study the case of decreasing dependence where non-real and multiple eigenvalues are possible. By determining the explicit form of a biorthogonal system, we prove that the system of root (i.e. eigen and associated) functions, with an arbitrary element removed, is a minimal system in L₂(0,1), except for some cases where this system is neither complete nor minimal.

Minimax inequality for a special class of functionals and its application to existence of three solutions for a Dirichlet problem in one-dimensional case.

Afrouzi, G.A., Heidarkhani, S., Hossienzadeh, H., Yazdani, A. (2010)

The Journal of Nonlinear Sciences and its Applications

Currently displaying 1 – 20 of 108

Page 1 Next

Displaying 1 – 20 of 108

Mathematical analysis of the optimizing acquisition and retention over time problem

Mathematical analysis of the optimizing acquisition and retention over time problem

Mathematical model for the basilar membrane as a two dimensional plate.

Maximum principle and its extension for bounded control problems with boundary conditions.

Maximum principles and uniqueness results of phi-Laplacian boundary value problems.

Maximum principles for a family of nonlocal boundary value problems.

Mesh Selection for Discrete Solution of Boundary Problems in Ordinary Differential Equations.

Method of lower and upper solutions for a generalized boundary value problem

Method of lower and upper solutions for a third-order three-point regular boundary value problem

Method of successive approximations for a certain nonlinear third order boundary value problem

Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions.

Methods of analysis of the condition for correct solvability in $L_{p} (ℝ)$ of general Sturm-Liouville equations

Metoda přesunu okrajových podmínek

Minimal and maximal solutions for two-point boundary-value problems.

Minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval.

Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions

Minimax inequality for a special class of functionals and its application to existence of three solutions for a Dirichlet problem in one-dimensional case.

Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem

Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces.

Mixed two-point boundary-value problems for impulsive differential equations.

Currently displaying 1 – 20 of 108