prof. dr. sc. Mervan Pašić

Redoviti profesor, Zavod za primijenjenu matematiku

  Poglavlja u knjizi
 
Fractal properties of solutions of differential equations // Classification and Application of Fractals / Hagen, William L. (ur.).
 
  Udžbenici i skripta
 
Matematika 1 / Sandra Gračan (ur.).
Matematika 3, Vektorska analiza .
Matematika 2. Sa zbirkom riješenih primjera i zadataka. .
Matematika 1. S više od 800 riješenih primjera i zadataka .
Matematička analiza 1 .
Matematičko modeliranje pomoću Wolframove matematike .
 
  Izvorni znanstveni i pregledni radovi u CC časopisima
 
Non-monotone positive solutions of second-order linear differential equations: existence, nonexistence and criteria. // Electronic Journal of Qualitative Theory of Differential Equations. 2016 (2016) , 93; 1-25 (članak, znanstveni).
Sign-changing first derivative of positive solutions of forced second-order nonlinear differential equations. // Applied mathematics letters. 40 (2015) ; 40-44 (članak, znanstveni).
Strong non-monotonic behavior of particle density of solitary waves of nonlinear Schrodinger equation in Bose-Einstein condensates. // Communications in Nonlinear Science and Numerical Simulation. 29 (2015) , 1/3; 161-169 (članak, znanstveni).
Parametrically excited oscillations of second- order functional differential equations and application to Duffing equations with time delay feedback. // Discrete dynamics in nature and society. 2014 (2014) ; 875020-1-875020-17 (članak, znanstveni).
Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two- dimensional linear differential systems. // Abstract and applied analysis. 2013 (2013) ; 935089-1-935089-10 (članak, znanstveni).
Fite-Wintner-Leighton type oscillation criteria for second-order differential equations with nonlinear damping. // Abstract and applied analysis. (2013) ; 852180-1-852180-10 (članak, znanstveni).
New oscillation criteria for second-order forced quasilinear functional differential equations. // Abstract and applied analysis. 2013 (2013) ; 735360-1-735360-12 (članak, znanstveni).
Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order. // Journal of mathematical analysis and applications. 381 (2011) , 1; 27-42 (članak, znanstveni).
Fractal oscillations of self-adjoint and damped linear differential equations of second-order. // Applied mathematics and computation. 218 (2011) , 5; 2281-2293 (članak, znanstveni).
Rectifiable oscillations in second-order half-linear differential equations. // Annali di matematica pura ed applicata. 188 (2009) , 3; 517-541 (članak, znanstveni).
Oscillatory and phase dimensions of solutions of some second-order differential equations. // Bulletin des sciences mathématiques. 133 (2009) , 8; 859-874 (članak, znanstveni).
Rectifiable oscillations in second-order linear differential equations. // Journal of Differential Equations. 245 (2008) , 8; 2333-2351 (članak, znanstveni).
Fractal oscillations for a class of second order linear differential equations of Euler type. // Journal of Mathematical Analysis and Applications. 341 (2008) , 1; 211-223 (članak, znanstveni).
Rectifiable and unrectifiable oscillations for a class of second-order linear differential equations of Euler type. // Journal of Mathematical Analysis and Applications. 335 (2007) , 1; 724-738 (članak, znanstveni).
Minkowski-Bouligand dimension of solutions of the one-dimensional p-Laplacian. // Journal of Differential Equations. 190 (2003) , 1; 268-305 (članak, znanstveni).
Some qualitative properties of solutions of quasilinear elliptic equations and applications. // Journal of Differential Equations. 170 (2001) , 2; 247-280. (članak, znanstveni).
Control of essential infimum and supremum of solutions of quasilinear elliptic equations. // Comptes Rendus de l Academie des Sciences PARIS, Series I-Mathematique. 329 (1999) ; 269-274 (članak, znanstveni).
Symmetrization and existence results for some quasilinear elliptic equations. // Comptes rendus de l' Academie des sciences Paris, série I : mathematique. 325 (1997) ; 49 - 54 (članak, znanstveni).
Comparison and existence results for a nonlinear elliptic variational inequality. // Comptes rendus de l'Academie des sciences Paris. Serie I. Mathematique. 323 (1996) ; 341-346 (članak, znanstveni).
Isoperimetric inequalities in quasilinear elliptic equation of Leray-Lions type. // JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES . 75 (1996) ; 343-366 (članak, znanstveni).
 
  Znanstveni radovi u drugim časopisima
 
Non-monotone particle density of exact solitary wave in BEC with non-monotone trapping potential. // Nonlinear Science Letters A: Mathematics, Physics and Mechanics. 7 (2016) , 4; 141-146 (članak, znanstveni).
Second-order differential equations: some significant results due to James S.W. Wong. // Differential Equations and Applications. 6 (2014) , 1; 99-163 (pregledni rad, znanstveni).
Qualitative Analysis of Differential Equations. // International Journal of Differential Equations. 2013 (2013) , Article ID 598956; 1-2 (uvodnik, znanstveni).
Oscillations of a class of forced second-order differential equations with possible discontinuous coefficients. // International Journal of Differential Equations. 2013 (2013) ; 1-11 (članak, znanstveni).
New interval oscillation criteria for forced second- order differential equations with nonlinear damping. // International Journal of Mathematical Analysis. 7 (2013) ; 1239-1255 (članak, znanstveni).
Fractal oscillations of chirp functions and applications to second-order linear differential equations. // International journal of differential equations. 2013 (2013) ; 1-11 (članak, znanstveni).
Characterization for Rectifiable and Nonrectifiable Attractivity of Nonautonomous Systems of Linear Differential Equations. // International Journal of Differential Equations. 2013 (2013) , Article ID 740980; 1-11 (članak, znanstveni).
Exact number of local extreme points of curvature function of solutions of secondorder linear differential equations. // Journal of applied mathematics and computing. International journal. 40 (2012) ; 5-32 (članak, znanstveni).
Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations. // Differential Equations & Applications. 4 (2012) , 1; 11-25 (članak, znanstveni).
Singular behaviour of bounded radially symmetric solutions of $p$ - Laplace nonlinear equation. // International Journal of Mathematical Analysis. 3 (2009) , 36; 1775-1788 (članak, znanstveni).
Two-point oscillations in second-order linear differential equations. // Differential Equations and Applications. 1 (2009) ; 85-122 (članak, znanstveni).
Rectifiable and Unrectifiable Oscillations for a Generalization of the Riemann-Weber Version of Euler Differential Equation. // Georgian Mathematical Journal. 15 (2008) ; 759-774 (članak, znanstveni).
Rectifiable oscillations and singular behaviour of solutions of second-order linear differential equations. // International Journal of Mathematical Analysis. 2 (2008) ; 477-490 (članak, znanstveni).
On a class of nonlinear variational inequalities: High concentration of the graph of weak solution via its fractional dimension and Minkowski content. // Electronic Journal of Differential Equations. 2007 (2007) , 37; 1-21 (članak, znanstveni).
Rectifiability of solutions of the one-dimensional p-Laplacian. // Electronic journal of differential equations. 2005 (2005) , 46; 1-8 (članak, znanstveni).
Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian. // Electronic Journal of Differential Equations. 2004 (2004) , 60; 1-25 (članak, znanstveni).
A class of nonlinear elliptic variational inequalities : qualitative properties and existence of solutions. // Electronic journal of differential equations. 2002 (2002) , 14; 1-14 (članak, znanstveni).
A singular ODE related to quasilinear elliptic equations. // Electronic journal od differential equations. 2000 (2000) , 12; 1-37 (članak, znanstveni).
Nonexistence of spherically symmetric solutions for p-Laplacian in the ball. // C. R. Math. Acad. Sci. Canada. 21 (1999) , 1; 16-22 (članak, znanstveni).
On a general asymptotic problem associated with Leray-Lions operators. // Glasnik matematički. 33 (1998) , 53; 61-69 (članak, znanstveni).
 
  Radovi u postupku objavljivanja
 
Positive non-monotone solutions of second-order delay differential equations. // Bulletin of the Malaysian Mathematical Sciences Society. (2017) (prihvaćen za objavljivanje).
Two-point oscillations in second-order linear differential equations. // Differential Equations and Applications. (2008).
 
  Plenarna izlaganja
 
Fractal oscillations of chirp functions and second-order differential equations // .
Fractal oscillations: details, closed and open problems // .
 
  Objavljena pozvana predavanja na skupovima
 
Fractal oscillations near the domain boundary of radially symmetric solutions of p-Laplace equations // Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics / Carfi, David ; Lapidus, Michel L. ; Pearse, Erin P. J. ; Van Frankenhuijsen, Machiel (ur.).
Blow-up and point-wise comparison principles for the generalized Riccati differential equation and application to oscillation of some nonlinear ode's // Global qualitative theory of ordinary differential equations and applications, RIMS Kokyuroku, 1838 / Satoshi Tanaka (ur.).
Rectifiable, unrectifiable and fractal oscillations of solutions of linear and half-linear differential equations of second-order // New Developments of Functional Equations in Mathematical Analysis / Shibata, Tetsutaro (ur.).
 
  Sažeci u zbornicima skupova
 
Linear singular differntial equations in Banach space and nonrectifiable attractivity in two- dimensional linear differential systems // .
On some new properties of solutions of nonlinear PDE-s // NPDE 2009 Nonlinear PDE and Applications, In occasion of Francesco Nicolosi's 70th birthday.
Rectifiable, unrectifiable, and fractal oscillations for a class of second-order linear differential equations on a finite interval // EQUADIFF 2007. Vienna : Vienna University of Technology, 2007.
A new concept of oscillations for second-order linear differential equations of Euler type // Applied Mathematics and Scientific Computing, Brijuni, Croatia, 2007.
Matematičko modeliranje pomoću Mathematice // Mathematica. In Science, Tehnology and Education / Šime Ungar (ur.).
Mathematica u nastavnom predmetu "Uvod u teoriju kaosa za inženjere" // Mathematica. In Science, Tehnology and Education / Šime Ungar (ur.).
Recent advances in quasilinear elliptic equations // .
Quasilinear elliptic equations and systems with strong dependence on the gradient // .
 
  Vođenje disertacija, magistarskih i diplomskih radova
 
Geometrijska i fraktalna svojstva sustava neautonomnih linearnih diferencijalnih jednadžbi / doktorska disertacija.
Metode kompresije slike: JPEG i JPEG2000 / završni rad - diplomski/integralni studij.
Matematička analiza kaotičnih iteratora / završni rad - preddiplomski studij.
Bifurkacija u matematičkoj teoriji kaosa / završni rad - preddiplomski studij.
Matematička analiza fraktala i crtanje na računalu / završni rad - preddiplomski studij.
Algoritmi sortiranja u Wolframovoj Mathematici / diplomski rad.
Numeričko rješavanje diferencijalnih jednadžbi prvog i drugog reda na računalu / završni rad - preddiplomski studij.
Linearne integralne transformacije na računalu i primjene / završni rad - preddiplomski studij.
Prikaz matematičkog kaosa za inženjere i njegova prezentacija pomoću Web stranice / diplomski rad.
Fraktali kao matematička slika prirode / diplomski rad.
Neprekinutost slabih rješenja kvazilinearnih eliptičkih jednadžbi / magistarski rad.
 

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