here's an example of how to use Java Swing and JList to search and sort a collection of objects:

import java.awt.BorderLayout;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.util.ArrayList;
import java.util.Collections;
import java.util.Comparator;
import java.util.List;
import javax.swing.DefaultListModel;
import javax.swing.JButton;
import javax.swing.JFrame;
import javax.swing.JList;
import javax.swing.JPanel;
import javax.swing.JScrollPane;
import javax.swing.JTextField;

public class SearchAndSortExample extends JFrame {
  
  private List<Person> people;
  private JList<Person> personList;
  private DefaultListModel<Person> listModel;
  private JTextField searchField;

  public SearchAndSortExample() {
    // create some sample data
    people = new ArrayList<Person>();
    people.add(new Person("Alice", "Smith", 25));
    people.add(new Person("Bob", "Jones", 35));
    people.add(new Person("Charlie", "Brown", 30));
    people.add(new Person("David", "Lee", 40));
    
    // create a list model and populate it with the sample data
    listModel = new DefaultListModel<Person>();
    for (Person person : people) {
      listModel.addElement(person);
    }
    
    // create the JList and set its model
    personList = new JList<Person>(listModel);
    
    // create a search field and add an action listener to filter the list
    searchField = new JTextField(20);
    searchField.addActionListener(new ActionListener() {
      public void actionPerformed(ActionEvent e) {
        filterList();
      }
    });
    
    // create a button to sort the list and add an action listener
    JButton sortButton = new JButton("Sort by age");
    sortButton.addActionListener(new ActionListener() {
      public void actionPerformed(ActionEvent e) {
        sortList();
      }
    });
    
    // create a panel to hold the search field and sort button
    JPanel controlPanel = new JPanel();
    controlPanel.add(searchField);
    controlPanel.add(sortButton);
    
    // add the JList and control panel to the frame
    add(new JScrollPane(personList), BorderLayout.CENTER);
    add(controlPanel, BorderLayout.SOUTH);
    
    // set some properties of the frame
    setTitle("Search and Sort Example");
    setSize(400, 300);
    setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
    setVisible(true);
  }
  
  private void filterList() {
    String searchText = searchField.getText().toLowerCase();
    listModel.clear();
    for (Person person : people) {
      if (person.getFirstName().toLowerCase().contains(searchText) ||
          person.getLastName().toLowerCase().contains(searchText)) {
        listModel.addElement(person);
      }
    }
  }
  
  private void sortList() {
    Collections.sort(people, new Comparator<Person>() {
      public int compare(Person p1, Person p2) {
        return p1.getAge() - p2.getAge();
      }
    });
    listModel.clear();
    for (Person person : people) {
      listModel.addElement(person);
    }
  }
  
  public static void main(String[] args) {
    new SearchAndSortExample();
  }

}

class Person {
  
  private String firstName;
  private String lastName;
  private int age;
  
  public Person(String firstName, String lastName, int age) {
    this.firstName = firstName;
    this.lastName = lastName;
    this.age = age;
  }
  
  public String getFirstName() {
    return firstName;
  }
  
  public String getLastName() {
    return lastName;
  }
  
  public int getAge() {
    return age;
  }
  
  public String toString() {
    return firstName +