Semilinear integrodifferential equations with nonlocal initial conditions
Copyright policy )Semilinear integrodifferential equations with nonlocal initial conditions
The paper is concerned with developing existence and uniqueness theorems for the Cauchy problem for semilinear integro-differential equations of convolution type. The sequence of theorems presented extends the existing results and can be applied, as is shown in the final section of the paper, to problems that arise in heat conduction in materials with memory.
- University of Tübingen Germany
- University of Science and Technology of China China (People's Republic of)
Semilinear integrodifferential equation, Other nonlinear integral equations, Cauchy problem, Nonlocal initial condition, heat conduction in materials with memory, Integro-ordinary differential equations, Computational Mathematics, semilinear integro-differential equations of convolution type, Computational Theory and Mathematics, Modelling and Simulation, Mild solution, non-local initial conditions, Classical solution
Semilinear integrodifferential equation, Other nonlinear integral equations, Cauchy problem, Nonlocal initial condition, heat conduction in materials with memory, Integro-ordinary differential equations, Computational Mathematics, semilinear integro-differential equations of convolution type, Computational Theory and Mathematics, Modelling and Simulation, Mild solution, non-local initial conditions, Classical solution
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).66 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!