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1. Liquid-vapour coexistence line and percolation line of rose water model
Peter Ogrin, Tomaž Urbič, 2022, original scientific article

Keywords: integral equation, percolation, critical point
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2. Existence results for integro-differential equations with reflection
Mohsen Miraoui, Dušan Repovš, 2021, original scientific article

Keywords: differential equation with reflection, integro-differential equation, positive measure, pseudo almost automorphic solution
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3. Nodal solutions of fourth-order Kirchhoff equations with critical growth in R[sup]N
Hongling Pu, Shiqi Li, Sihua Liang, Dušan Repovš, 2021, original scientific article

Keywords: fourth-order elliptic equation, Kirchhoff problem, critical exponent, variational methods, nodal solution
Full text (file, 425,66 KB)

4. Semigroups for dynamical processes on metric graphs
Marjeta Kramar Fijavž, Aleksandra Puchalska, 2020, original scientific article

Keywords: analysis, differential equations, biomathematics, operator semigroups, networks, transport equation, diffusion equation, genetic mutation model, synaptic transmission model
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5. Keratin dynamics and spatial distribution in wild-type and K14 R125P mutant cells—a computational model
Marcos Gouveia, Špela Zemljič Jokhadar, Marko Vidak, Biljana Stojković, Jure Derganc, Rui Travasso, Mirjana Liović, 2020, original scientific article

Keywords: keratin, epidermolysis bullosa simplex, mutation, phase-field model, reaction-diffusion-advection equation
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6. Combined effects for non-autonomous singular biharmonic problems
Vicenţiu Rǎdulescu, Dušan Repovš, 2020, original scientific article

Keywords: generalized p(x)-biharmonic equation, nonhomogeneous differential operator, variable exponent, singular nonlinearity
Full text (file, 328,40 KB)

7. Fractional magnetic Schrödinger-Kirchhoff problems with convolution and critical nonlinearities
Sihua Liang, Dušan Repovš, Binlin Zhang, 2020, original scientific article

Keywords: Choquard-type equation, critical nonlinearity, fractional magnetic operator, variational method
Full text (file, 429,52 KB)

8. Markov and hidden Markov models in microinsurance
Gregor Fabjan, 2017, master's thesis

Keywords: multistate models, Markov models, hidden Markov models, dishonest transition function, life insurance, Chapman-Kolmogorov equation, Baum-Welch algorithm, microinsurance, Allianz, Egypt Post, Smith-Wilson algorithm, Matlab, insurance, machine learning, case study
Full text (file, 2,78 MB)

9. Heston model derivation, discretisation and calibration in R
Andrej Maršič, 2017, master's thesis

Keywords: Heston model, financial modelling, stochastic differential equation, discretisation scheme, simulation, R
Full text (file, 667,47 KB)

10. Global invertibility of mappings between Banach spaces and applications to nonlinear equations
Marek Galewski, Dušan Repovš, 2018, published scientific conference contribution

Keywords: global diffeomorphism, local diffeomorphism, algebraic equation, integro-differential system
Full text (file, 263,13 KB)
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