Search Results - "do Rosário Grossinho, Maria"
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On some nonlinear boundary value problems related to a Black-Scholes model with transaction costs
Published in Boundary value problems (22-08-2015)“…We deal with some generalizations on a Black-Scholes model arising in financial mathematics. As a novelty in this paper, we consider a variable volatility and…”
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On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
Published in Journal of mathematical analysis and applications (01-09-2003)“…We prove the existence of extremal solutions for the third order discontinuous functional nonlinear problem − φ u″(t) ′=f t,u,u′(t),u″(t) for a.e. t∈[a,b],…”
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3
Option pricing in exponential Lévy models with transaction costs
Published in The journal of computational finance (01-04-2020)Get full text
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Discretisation of abstract linear evolution equations of parabolic type
Published in Advances in difference equations (16-02-2012)“…We investigate the discretisation of the linear parabolic equation du / dt = A ( t ) u + f ( t ) in abstract spaces, making use of both the implicit and the…”
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5
Pricing American call options using the Black–Scholes equation with a nonlinear volatility function
Published in The journal of computational finance (2020)Get full text
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Pricing Perpetual Put Options by the Black–Scholes Equation with a Nonlinear Volatility Function
Published in Asia-Pacific financial markets (01-12-2017)“…We investigate qualitative and quantitative behavior of a solution of the mathematical model for pricing American style of perpetual put options. We assume the…”
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On the solvability of a boundary value problem for a fourth-order ordinary differential equation
Published in Applied mathematics letters (01-04-2005)“…We study the existence and multiplicity of nontrivial periodic solutions for a semilinear fourth-order ordinary differential equation arising in the study of…”
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8
Editorial
Published in International journal of computer mathematics (02-08-2024)Get full text
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Editorial
Published in International journal of computer mathematics (01-08-2024)Get full text
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10
A fully nonlinear problem arising in financial modelling
Published in Boundary value problems (13-06-2013)“…We state existence and localisation results for a fully nonlinear boundary value problem using the upper and lower solutions method. With this study we aim to…”
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11
Preface
Published in International journal of computer mathematics (02-11-2017)Get full text
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12
Preface
Published in International journal of computer mathematics (02-11-2017)Get full text
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13
Preface
Published in International journal of computer mathematics (02-11-2019)Get full text
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14
Preface
Published in International journal of computer mathematics (02-11-2019)Get full text
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15
Preface
Published in International journal of computer mathematics (01-11-2019)Get full text
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Preface
Published in International journal of computer mathematics (01-11-2017)Get full text
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Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein-type conditions
Published in Electronic journal of qualitative theory of differential equations (1999)“…We prove the solvability of the parabolic problem $$\partial_t u-\sum_{i,j=1}^N \partial_{x_i}(a_{i,j}(x,t)\partial_{x_j}u)+\sum_{i=1}^N…”
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A fully nonlinear problem arising in financial modelling: Doc 403
Published in Boundary value problems (01-06-2013)“…We state existence and localisation results for a fully nonlinear boundary value problem using the upper and lower solutions method. With this study we aim to…”
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A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition
Published in Nonlinear analysis (01-06-2009)“…The purpose of this work is to establish existence and location results for the higher-order fully nonlinear differential equation u ( n ) ( t ) = f ( t , u (…”
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20
Positive solutions of a Dirichlet problem for a stationary nonlinear Black–Scholes equation
Published in Nonlinear analysis (15-11-2009)“…In this paper, we study the existence of stationary solutions of a nonlinear Black–Scholes type equation that concerns an option pricing model with stochastic…”
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