Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity N Duruk, HA Erbay, A Erkip Nonlinearity 23 (1), 107, 2009 | 53 | 2009 |

A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity N Duruk, A Erkip, HA Erbay IMA Journal of Applied Mathematics 74 (1), 97-106, 2009 | 39 | 2009 |

Normal solvability of elliptic boundary value problems on asymptotically flat manifolds AK Erkip, E Schrohe Journal of functional analysis 109 (1), 22-51, 1992 | 33 | 1992 |

The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model HA Erbay, A Erkip, GM Muslu Journal of Differential Equations 252 (8), 4392-4409, 2012 | 29 | 2012 |

Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations N Duruk, HA Erbay, A Erkip Journal of Differential Equations 250 (3), 1448-1459, 2011 | 28 | 2011 |

Dynamics of large-scale fluctuations in native proteins. Analysis based on harmonic inter-residue potentials and random external noise A Erkip, B Erman Polymer 45 (2), 641-648, 2004 | 21 | 2004 |

Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations C Babaoglu, HA Erbay, A Erkip Nonlinear Analysis: Theory, Methods & Applications 77, 82-93, 2013 | 19 | 2013 |

The N-th order elliptic boundary problem for noncompact boundaries HO Cordes, AK Erkip The Rocky Mountain Journal of Mathematics 10 (1), 7-24, 1980 | 15 | 1980 |

Derivation of the Camassa–Holm equations for elastic waves HA Erbay, S Erbay, A Erkip Physics Letters A 379 (12-13), 956-961, 2015 | 14 | 2015 |

Existence and stability of traveling waves for a class of nonlocal nonlinear equations HA Erbay, S Erbay, A Erkip Journal of Mathematical Analysis and Applications 425 (1), 307-336, 2015 | 12 | 2015 |

The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials HA Erbay, S Erbay, A Erkip Nonlinearity 24 (4), 1347, 2011 | 12 | 2011 |

Instability and stability properties of traveling waves for the double dispersion equation HA Erbay, S Erbay, A Erkip Nonlinear Analysis 133, 1-14, 2016 | 11 | 2016 |

Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations HA Erbay, S Erbay, A Erkip Nonlinear Analysis: Theory, Methods & Applications 95, 313-322, 2014 | 11 | 2014 |

The elliptic boundary problem on the half space AK Erkip Communications in Partial Differential Equations 4 (5), 537-554, 1979 | 11 | 1979 |

Parameter optimization for the Gaussian model of protein folding A Erkip, B Erman, C Seok, K Dill Polymer 43 (2), 495-501, 2002 | 8 | 2002 |

The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations HA Erbay, S Erbay, A Erkip arXiv preprint arXiv:1601.02154, 2016 | 7 | 2016 |

Normal solvability of boundary value problems in half space AK Erkip Pseudo-Differential Operators, 123-134, 1987 | 6 | 1987 |

Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity HA Erbay, A Erkip, Y Şengül Journal of Differential Equations 269 (11), 9720-9739, 2020 | 5 | 2020 |

Derivation of generalized Camassa-Holm equations from Boussinesq-type equations HA Erbay, S Erbay, A Erkip Journal of Nonlinear Mathematical Physics 23 (3), 314-322, 2016 | 5 | 2016 |

Cauchy problem for a higher-order Boussinesq equation N Duruk | 5 | 2007 |